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Finding the Fourth Proportional to 518.64, 714.08 and 429.76

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Solution

The fourth proportional to 518.64, 714.08 and 429.76 is: 591.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.64 : 714.08 = 429.76 : x
  2. Step 2: Convert to fraction form
    518.64/714.08 = 429.76/x
  3. Step 3: Cross multiply
    518.64x = 714.08 × 429.76
  4. Step 4: Simplify right side
    518.64x = 306,883.02
  5. Step 5: Solve for x
    x = 306,883.02/518.64
  6. Step 6: Final answer
    x = 591.71

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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.