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Finding the Fourth Proportional to 985.13, 1,358.86 and 653.43

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Solution

The fourth proportional to 985.13, 1,358.86 and 653.43 is: 901.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.13 : 1,358.86 = 653.43 : x
  2. Step 2: Convert to fraction form
    985.13/1,358.86 = 653.43/x
  3. Step 3: Cross multiply
    985.13x = 1,358.86 × 653.43
  4. Step 4: Simplify right side
    985.13x = 887,919.89
  5. Step 5: Solve for x
    x = 887,919.89/985.13
  6. Step 6: Final answer
    x = 901.32

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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.