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Finding the Fourth Proportional to 1,153.96, 1,591.98 and 688.12

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Solution

The fourth proportional to 1,153.96, 1,591.98 and 688.12 is: 949.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.96 : 1,591.98 = 688.12 : x
  2. Step 2: Convert to fraction form
    1,153.96/1,591.98 = 688.12/x
  3. Step 3: Cross multiply
    1,153.96x = 1,591.98 × 688.12
  4. Step 4: Simplify right side
    1,153.96x = 1,095,473.28
  5. Step 5: Solve for x
    x = 1,095,473.28/1,153.96
  6. Step 6: Final answer
    x = 949.32

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Half scale
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Double scale
Find fourth proportional to 1,154.96, 1,593.36 and 689.12
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.