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Finding the Fourth Proportional to 534.55, 798.53 and 387.13

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Solution

The fourth proportional to 534.55, 798.53 and 387.13 is: 578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.55 : 798.53 = 387.13 : x
  2. Step 2: Convert to fraction form
    534.55/798.53 = 387.13/x
  3. Step 3: Cross multiply
    534.55x = 798.53 × 387.13
  4. Step 4: Simplify right side
    534.55x = 309,134.92
  5. Step 5: Solve for x
    x = 309,134.92/534.55
  6. Step 6: Final answer
    x = 578.31

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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.