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Finding the Fourth Proportional to 974.30, 1,342.95 and 659.46

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Solution

The fourth proportional to 974.30, 1,342.95 and 659.46 is: 908.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.30 : 1,342.95 = 659.46 : x
  2. Step 2: Convert to fraction form
    974.30/1,342.95 = 659.46/x
  3. Step 3: Cross multiply
    974.30x = 1,342.95 × 659.46
  4. Step 4: Simplify right side
    974.30x = 885,621.81
  5. Step 5: Solve for x
    x = 885,621.81/974.30
  6. Step 6: Final answer
    x = 908.99

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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.