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Finding the Fourth Proportional to 1,155.50, 1,732.03 and 577.16

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Solution

The fourth proportional to 1,155.50, 1,732.03 and 577.16 is: 865.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.50 : 1,732.03 = 577.16 : x
  2. Step 2: Convert to fraction form
    1,155.50/1,732.03 = 577.16/x
  3. Step 3: Cross multiply
    1,155.50x = 1,732.03 × 577.16
  4. Step 4: Simplify right side
    1,155.50x = 999,658.43
  5. Step 5: Solve for x
    x = 999,658.43/1,155.50
  6. Step 6: Final answer
    x = 865.13

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.