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Finding the Fourth Proportional to 518.40, 714.06 and 424.80

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Solution

The fourth proportional to 518.40, 714.06 and 424.80 is: 585.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.40 : 714.06 = 424.80 : x
  2. Step 2: Convert to fraction form
    518.40/714.06 = 424.80/x
  3. Step 3: Cross multiply
    518.40x = 714.06 × 424.80
  4. Step 4: Simplify right side
    518.40x = 303,332.69
  5. Step 5: Solve for x
    x = 303,332.69/518.40
  6. Step 6: Final answer
    x = 585.13

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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.