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Finding the Fourth Proportional to 929.64, 1,390.14 and 686.64

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Solution

The fourth proportional to 929.64, 1,390.14 and 686.64 is: 1,026.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.64 : 1,390.14 = 686.64 : x
  2. Step 2: Convert to fraction form
    929.64/1,390.14 = 686.64/x
  3. Step 3: Cross multiply
    929.64x = 1,390.14 × 686.64
  4. Step 4: Simplify right side
    929.64x = 954,525.73
  5. Step 5: Solve for x
    x = 954,525.73/929.64
  6. Step 6: Final answer
    x = 1,026.77

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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.