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Finding the Fourth Proportional to 656.27, 979.09 and 590.66

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Solution

The fourth proportional to 656.27, 979.09 and 590.66 is: 881.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.27 : 979.09 = 590.66 : x
  2. Step 2: Convert to fraction form
    656.27/979.09 = 590.66/x
  3. Step 3: Cross multiply
    656.27x = 979.09 × 590.66
  4. Step 4: Simplify right side
    656.27x = 578,309.30
  5. Step 5: Solve for x
    x = 578,309.30/656.27
  6. Step 6: Final answer
    x = 881.21

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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.