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Finding the Fourth Proportional to 909.94, 1,255.74 and 560.65

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Solution

The fourth proportional to 909.94, 1,255.74 and 560.65 is: 773.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.94 : 1,255.74 = 560.65 : x
  2. Step 2: Convert to fraction form
    909.94/1,255.74 = 560.65/x
  3. Step 3: Cross multiply
    909.94x = 1,255.74 × 560.65
  4. Step 4: Simplify right side
    909.94x = 704,030.63
  5. Step 5: Solve for x
    x = 704,030.63/909.94
  6. Step 6: Final answer
    x = 773.71

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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.