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Finding the Fourth Proportional to 518.40, 714.69 and 358.90

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Solution

The fourth proportional to 518.40, 714.69 and 358.90 is: 494.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.40 : 714.69 = 358.90 : x
  2. Step 2: Convert to fraction form
    518.40/714.69 = 358.90/x
  3. Step 3: Cross multiply
    518.40x = 714.69 × 358.90
  4. Step 4: Simplify right side
    518.40x = 256,500.45
  5. Step 5: Solve for x
    x = 256,500.45/518.40
  6. Step 6: Final answer
    x = 494.79

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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.