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Finding the Fourth Proportional to 1,004.29, 1,385.95 and 562.18

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Solution

The fourth proportional to 1,004.29, 1,385.95 and 562.18 is: 775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.29 : 1,385.95 = 562.18 : x
  2. Step 2: Convert to fraction form
    1,004.29/1,385.95 = 562.18/x
  3. Step 3: Cross multiply
    1,004.29x = 1,385.95 × 562.18
  4. Step 4: Simplify right side
    1,004.29x = 779,155.81
  5. Step 5: Solve for x
    x = 779,155.81/1,004.29
  6. Step 6: Final answer
    x = 775.83

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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.