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Finding the Fourth Proportional to 659.60, 983.38 and 642.77

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Solution

The fourth proportional to 659.60, 983.38 and 642.77 is: 958.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.60 : 983.38 = 642.77 : x
  2. Step 2: Convert to fraction form
    659.60/983.38 = 642.77/x
  3. Step 3: Cross multiply
    659.60x = 983.38 × 642.77
  4. Step 4: Simplify right side
    659.60x = 632,082.25
  5. Step 5: Solve for x
    x = 632,082.25/659.60
  6. Step 6: Final answer
    x = 958.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.