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Finding the Fourth Proportional to 836.55, 1,153.71 and 688.32

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Solution

The fourth proportional to 836.55, 1,153.71 and 688.32 is: 949.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.55 : 1,153.71 = 688.32 : x
  2. Step 2: Convert to fraction form
    836.55/1,153.71 = 688.32/x
  3. Step 3: Cross multiply
    836.55x = 1,153.71 × 688.32
  4. Step 4: Simplify right side
    836.55x = 794,121.67
  5. Step 5: Solve for x
    x = 794,121.67/836.55
  6. Step 6: Final answer
    x = 949.28

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Double scale
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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.