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Finding the Fourth Proportional to 507.38, 700.58 and 397.42

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Solution

The fourth proportional to 507.38, 700.58 and 397.42 is: 548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.38 : 700.58 = 397.42 : x
  2. Step 2: Convert to fraction form
    507.38/700.58 = 397.42/x
  3. Step 3: Cross multiply
    507.38x = 700.58 × 397.42
  4. Step 4: Simplify right side
    507.38x = 278,423.75
  5. Step 5: Solve for x
    x = 278,423.75/507.38
  6. Step 6: Final answer
    x = 548.75

Related Problems

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Double scale
Find fourth proportional to 508.38, 701.96 and 398.42
Similar ratio
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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.