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Finding the Fourth Proportional to 502.50, 755.52 and 470.37

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Solution

The fourth proportional to 502.50, 755.52 and 470.37 is: 707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.50 : 755.52 = 470.37 : x
  2. Step 2: Convert to fraction form
    502.50/755.52 = 470.37/x
  3. Step 3: Cross multiply
    502.50x = 755.52 × 470.37
  4. Step 4: Simplify right side
    502.50x = 355,373.94
  5. Step 5: Solve for x
    x = 355,373.94/502.50
  6. Step 6: Final answer
    x = 707.21

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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.