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Finding the Fourth Proportional to 605.38, 903.68 and 560.26

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Solution

The fourth proportional to 605.38, 903.68 and 560.26 is: 836.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.38 : 903.68 = 560.26 : x
  2. Step 2: Convert to fraction form
    605.38/903.68 = 560.26/x
  3. Step 3: Cross multiply
    605.38x = 903.68 × 560.26
  4. Step 4: Simplify right side
    605.38x = 506,295.76
  5. Step 5: Solve for x
    x = 506,295.76/605.38
  6. Step 6: Final answer
    x = 836.33

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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.