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Finding the Fourth Proportional to 501.39, 748.85 and 473.45

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Solution

The fourth proportional to 501.39, 748.85 and 473.45 is: 707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.39 : 748.85 = 473.45 : x
  2. Step 2: Convert to fraction form
    501.39/748.85 = 473.45/x
  3. Step 3: Cross multiply
    501.39x = 748.85 × 473.45
  4. Step 4: Simplify right side
    501.39x = 354,536.92
  5. Step 5: Solve for x
    x = 354,536.92/501.39
  6. Step 6: Final answer
    x = 707.11

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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.