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Finding the Fourth Proportional to 502.20, 751.68 and 465.75

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Solution

The fourth proportional to 502.20, 751.68 and 465.75 is: 697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.20 : 751.68 = 465.75 : x
  2. Step 2: Convert to fraction form
    502.20/751.68 = 465.75/x
  3. Step 3: Cross multiply
    502.20x = 751.68 × 465.75
  4. Step 4: Simplify right side
    502.20x = 350,094.96
  5. Step 5: Solve for x
    x = 350,094.96/502.20
  6. Step 6: Final answer
    x = 697.12

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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.