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Finding the Fourth Proportional to 520.04, 718.16 and 444.92

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Solution

The fourth proportional to 520.04, 718.16 and 444.92 is: 614.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.04 : 718.16 = 444.92 : x
  2. Step 2: Convert to fraction form
    520.04/718.16 = 444.92/x
  3. Step 3: Cross multiply
    520.04x = 718.16 × 444.92
  4. Step 4: Simplify right side
    520.04x = 319,517.93
  5. Step 5: Solve for x
    x = 319,517.93/520.04
  6. Step 6: Final answer
    x = 614.42

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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.