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Finding the Fourth Proportional to 665.89, 917.94 and 560.59

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Solution

The fourth proportional to 665.89, 917.94 and 560.59 is: 772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.89 : 917.94 = 560.59 : x
  2. Step 2: Convert to fraction form
    665.89/917.94 = 560.59/x
  3. Step 3: Cross multiply
    665.89x = 917.94 × 560.59
  4. Step 4: Simplify right side
    665.89x = 514,587.98
  5. Step 5: Solve for x
    x = 514,587.98/665.89
  6. Step 6: Final answer
    x = 772.78

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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.