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Finding the Fourth Proportional to 974.07, 1,343.28 and 642.16

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Solution

The fourth proportional to 974.07, 1,343.28 and 642.16 is: 885.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.07 : 1,343.28 = 642.16 : x
  2. Step 2: Convert to fraction form
    974.07/1,343.28 = 642.16/x
  3. Step 3: Cross multiply
    974.07x = 1,343.28 × 642.16
  4. Step 4: Simplify right side
    974.07x = 862,600.68
  5. Step 5: Solve for x
    x = 862,600.68/974.07
  6. Step 6: Final answer
    x = 885.56

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1.5x scale

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.