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Finding the Fourth Proportional to 659.13, 983.92 and 566.79

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Solution

The fourth proportional to 659.13, 983.92 and 566.79 is: 846.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.13 : 983.92 = 566.79 : x
  2. Step 2: Convert to fraction form
    659.13/983.92 = 566.79/x
  3. Step 3: Cross multiply
    659.13x = 983.92 × 566.79
  4. Step 4: Simplify right side
    659.13x = 557,676.02
  5. Step 5: Solve for x
    x = 557,676.02/659.13
  6. Step 6: Final answer
    x = 846.08

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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.