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Finding the Fourth Proportional to 656.79, 979.38 and 566.07

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Solution

The fourth proportional to 656.79, 979.38 and 566.07 is: 844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.79 : 979.38 = 566.07 : x
  2. Step 2: Convert to fraction form
    656.79/979.38 = 566.07/x
  3. Step 3: Cross multiply
    656.79x = 979.38 × 566.07
  4. Step 4: Simplify right side
    656.79x = 554,397.64
  5. Step 5: Solve for x
    x = 554,397.64/656.79
  6. Step 6: Final answer
    x = 844.10

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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.