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Finding the Fourth Proportional to 761.35, 1,140.13 and 557.23

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Solution

The fourth proportional to 761.35, 1,140.13 and 557.23 is: 834.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.35 : 1,140.13 = 557.23 : x
  2. Step 2: Convert to fraction form
    761.35/1,140.13 = 557.23/x
  3. Step 3: Cross multiply
    761.35x = 1,140.13 × 557.23
  4. Step 4: Simplify right side
    761.35x = 635,311.49
  5. Step 5: Solve for x
    x = 635,311.49/761.35
  6. Step 6: Final answer
    x = 834.45

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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.