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Finding the Fourth Proportional to 501.86, 747.73 and 473.91

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Solution

The fourth proportional to 501.86, 747.73 and 473.91 is: 706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.86 : 747.73 = 473.91 : x
  2. Step 2: Convert to fraction form
    501.86/747.73 = 473.91/x
  3. Step 3: Cross multiply
    501.86x = 747.73 × 473.91
  4. Step 4: Simplify right side
    501.86x = 354,356.72
  5. Step 5: Solve for x
    x = 354,356.72/501.86
  6. Step 6: Final answer
    x = 706.09

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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.