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Finding the Fourth Proportional to 502.86, 752.86 and 400.30

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Solution

The fourth proportional to 502.86, 752.86 and 400.30 is: 599.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.86 : 752.86 = 400.30 : x
  2. Step 2: Convert to fraction form
    502.86/752.86 = 400.30/x
  3. Step 3: Cross multiply
    502.86x = 752.86 × 400.30
  4. Step 4: Simplify right side
    502.86x = 301,369.86
  5. Step 5: Solve for x
    x = 301,369.86/502.86
  6. Step 6: Final answer
    x = 599.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.