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Finding the Fourth Proportional to 517.38, 714.60 and 419.64

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Solution

The fourth proportional to 517.38, 714.60 and 419.64 is: 579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.38 : 714.60 = 419.64 : x
  2. Step 2: Convert to fraction form
    517.38/714.60 = 419.64/x
  3. Step 3: Cross multiply
    517.38x = 714.60 × 419.64
  4. Step 4: Simplify right side
    517.38x = 299,874.74
  5. Step 5: Solve for x
    x = 299,874.74/517.38
  6. Step 6: Final answer
    x = 579.60

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1.5x scale

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.