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Finding the Fourth Proportional to 501.57, 747.32 and 473.63

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Solution

The fourth proportional to 501.57, 747.32 and 473.63 is: 705.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.57 : 747.32 = 473.63 : x
  2. Step 2: Convert to fraction form
    501.57/747.32 = 473.63/x
  3. Step 3: Cross multiply
    501.57x = 747.32 × 473.63
  4. Step 4: Simplify right side
    501.57x = 353,947.07
  5. Step 5: Solve for x
    x = 353,947.07/501.57
  6. Step 6: Final answer
    x = 705.68

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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.