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Finding the Fourth Proportional to 968.66, 1,452.62 and 474.76

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Solution

The fourth proportional to 968.66, 1,452.62 and 474.76 is: 711.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.66 : 1,452.62 = 474.76 : x
  2. Step 2: Convert to fraction form
    968.66/1,452.62 = 474.76/x
  3. Step 3: Cross multiply
    968.66x = 1,452.62 × 474.76
  4. Step 4: Simplify right side
    968.66x = 689,645.87
  5. Step 5: Solve for x
    x = 689,645.87/968.66
  6. Step 6: Final answer
    x = 711.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.