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Finding the Fourth Proportional to 1,153.57, 1,720.63 and 1,118.99

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Solution

The fourth proportional to 1,153.57, 1,720.63 and 1,118.99 is: 1,669.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.57 : 1,720.63 = 1,118.99 : x
  2. Step 2: Convert to fraction form
    1,153.57/1,720.63 = 1,118.99/x
  3. Step 3: Cross multiply
    1,153.57x = 1,720.63 × 1,118.99
  4. Step 4: Simplify right side
    1,153.57x = 1,925,359.16
  5. Step 5: Solve for x
    x = 1,925,359.16/1,153.57
  6. Step 6: Final answer
    x = 1,669.04

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.