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Finding the Fourth Proportional to 507.38, 700.20 and 310.85

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Solution

The fourth proportional to 507.38, 700.20 and 310.85 is: 428.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.38 : 700.20 = 310.85 : x
  2. Step 2: Convert to fraction form
    507.38/700.20 = 310.85/x
  3. Step 3: Cross multiply
    507.38x = 700.20 × 310.85
  4. Step 4: Simplify right side
    507.38x = 217,656.29
  5. Step 5: Solve for x
    x = 217,656.29/507.38
  6. Step 6: Final answer
    x = 428.99

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Double scale
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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.