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Finding the Fourth Proportional to 502.88, 750.87 and 434.43

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Solution

The fourth proportional to 502.88, 750.87 and 434.43 is: 648.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.88 : 750.87 = 434.43 : x
  2. Step 2: Convert to fraction form
    502.88/750.87 = 434.43/x
  3. Step 3: Cross multiply
    502.88x = 750.87 × 434.43
  4. Step 4: Simplify right side
    502.88x = 326,200.45
  5. Step 5: Solve for x
    x = 326,200.45/502.88
  6. Step 6: Final answer
    x = 648.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.