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Finding the Fourth Proportional to 557.25, 767.43 and 545.13

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Solution

The fourth proportional to 557.25, 767.43 and 545.13 is: 750.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.25 : 767.43 = 545.13 : x
  2. Step 2: Convert to fraction form
    557.25/767.43 = 545.13/x
  3. Step 3: Cross multiply
    557.25x = 767.43 × 545.13
  4. Step 4: Simplify right side
    557.25x = 418,351.99
  5. Step 5: Solve for x
    x = 418,351.99/557.25
  6. Step 6: Final answer
    x = 750.75

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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.