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Finding the Fourth Proportional to 664.35, 918.62 and 560.71

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Solution

The fourth proportional to 664.35, 918.62 and 560.71 is: 775.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.35 : 918.62 = 560.71 : x
  2. Step 2: Convert to fraction form
    664.35/918.62 = 560.71/x
  3. Step 3: Cross multiply
    664.35x = 918.62 × 560.71
  4. Step 4: Simplify right side
    664.35x = 515,079.42
  5. Step 5: Solve for x
    x = 515,079.42/664.35
  6. Step 6: Final answer
    x = 775.31

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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.