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Finding the Fourth Proportional to 951.16, 1,313.14 and 656.86

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Solution

The fourth proportional to 951.16, 1,313.14 and 656.86 is: 906.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.16 : 1,313.14 = 656.86 : x
  2. Step 2: Convert to fraction form
    951.16/1,313.14 = 656.86/x
  3. Step 3: Cross multiply
    951.16x = 1,313.14 × 656.86
  4. Step 4: Simplify right side
    951.16x = 862,549.14
  5. Step 5: Solve for x
    x = 862,549.14/951.16
  6. Step 6: Final answer
    x = 906.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.