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Finding the Fourth Proportional to 975.64, 1,462.32 and 461.56

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Solution

The fourth proportional to 975.64, 1,462.32 and 461.56 is: 691.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.64 : 1,462.32 = 461.56 : x
  2. Step 2: Convert to fraction form
    975.64/1,462.32 = 461.56/x
  3. Step 3: Cross multiply
    975.64x = 1,462.32 × 461.56
  4. Step 4: Simplify right side
    975.64x = 674,948.42
  5. Step 5: Solve for x
    x = 674,948.42/975.64
  6. Step 6: Final answer
    x = 691.80

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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.