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Finding the Fourth Proportional to 954.62, 1,430.31 and 863.90

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Solution

The fourth proportional to 954.62, 1,430.31 and 863.90 is: 1,294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.62 : 1,430.31 = 863.90 : x
  2. Step 2: Convert to fraction form
    954.62/1,430.31 = 863.90/x
  3. Step 3: Cross multiply
    954.62x = 1,430.31 × 863.90
  4. Step 4: Simplify right side
    954.62x = 1,235,644.81
  5. Step 5: Solve for x
    x = 1,235,644.81/954.62
  6. Step 6: Final answer
    x = 1,294.38

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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.