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Finding the Fourth Proportional to 502.83, 752.36 and 297.50

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Solution

The fourth proportional to 502.83, 752.36 and 297.50 is: 445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.83 : 752.36 = 297.50 : x
  2. Step 2: Convert to fraction form
    502.83/752.36 = 297.50/x
  3. Step 3: Cross multiply
    502.83x = 752.36 × 297.50
  4. Step 4: Simplify right side
    502.83x = 223,824.48
  5. Step 5: Solve for x
    x = 223,824.48/502.83
  6. Step 6: Final answer
    x = 445.13

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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.