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Finding the Fourth Proportional to 1,155.56, 1,734.01 and 462.29

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Solution

The fourth proportional to 1,155.56, 1,734.01 and 462.29 is: 693.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.56 : 1,734.01 = 462.29 : x
  2. Step 2: Convert to fraction form
    1,155.56/1,734.01 = 462.29/x
  3. Step 3: Cross multiply
    1,155.56x = 1,734.01 × 462.29
  4. Step 4: Simplify right side
    1,155.56x = 801,605.66
  5. Step 5: Solve for x
    x = 801,605.66/1,155.56
  6. Step 6: Final answer
    x = 693.70

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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.