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Finding the Fourth Proportional to 501.96, 747.51 and 470.82

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Solution

The fourth proportional to 501.96, 747.51 and 470.82 is: 701.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.96 : 747.51 = 470.82 : x
  2. Step 2: Convert to fraction form
    501.96/747.51 = 470.82/x
  3. Step 3: Cross multiply
    501.96x = 747.51 × 470.82
  4. Step 4: Simplify right side
    501.96x = 351,942.66
  5. Step 5: Solve for x
    x = 351,942.66/501.96
  6. Step 6: Final answer
    x = 701.14

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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.