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Finding the Fourth Proportional to 975.10, 1,462.87 and 454.72

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Solution

The fourth proportional to 975.10, 1,462.87 and 454.72 is: 682.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.10 : 1,462.87 = 454.72 : x
  2. Step 2: Convert to fraction form
    975.10/1,462.87 = 454.72/x
  3. Step 3: Cross multiply
    975.10x = 1,462.87 × 454.72
  4. Step 4: Simplify right side
    975.10x = 665,196.25
  5. Step 5: Solve for x
    x = 665,196.25/975.10
  6. Step 6: Final answer
    x = 682.18

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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.