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Finding the Fourth Proportional to 951.10, 1,427.41 and 431.14

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Solution

The fourth proportional to 951.10, 1,427.41 and 431.14 is: 647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.10 : 1,427.41 = 431.14 : x
  2. Step 2: Convert to fraction form
    951.10/1,427.41 = 431.14/x
  3. Step 3: Cross multiply
    951.10x = 1,427.41 × 431.14
  4. Step 4: Simplify right side
    951.10x = 615,413.55
  5. Step 5: Solve for x
    x = 615,413.55/951.10
  6. Step 6: Final answer
    x = 647.05

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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.