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Finding the Fourth Proportional to 654.09, 901.77 and 560.43

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Solution

The fourth proportional to 654.09, 901.77 and 560.43 is: 772.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.09 : 901.77 = 560.43 : x
  2. Step 2: Convert to fraction form
    654.09/901.77 = 560.43/x
  3. Step 3: Cross multiply
    654.09x = 901.77 × 560.43
  4. Step 4: Simplify right side
    654.09x = 505,376.86
  5. Step 5: Solve for x
    x = 505,376.86/654.09
  6. Step 6: Final answer
    x = 772.65

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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.