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Finding the Fourth Proportional to 554, 762.72 and 528

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Solution

The fourth proportional to 554, 762.72 and 528 is: 726.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    554 : 762.72 = 528 : x
  2. Step 2: Convert to fraction form
    554/762.72 = 528/x
  3. Step 3: Cross multiply
    554x = 762.72 × 528
  4. Step 4: Simplify right side
    554x = 402,716.16
  5. Step 5: Solve for x
    x = 402,716.16/554
  6. Step 6: Final answer
    x = 726.92

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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.