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Finding the Fourth Proportional to 910.04, 1,255.36 and 560.12

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Solution

The fourth proportional to 910.04, 1,255.36 and 560.12 is: 772.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.04 : 1,255.36 = 560.12 : x
  2. Step 2: Convert to fraction form
    910.04/1,255.36 = 560.12/x
  3. Step 3: Cross multiply
    910.04x = 1,255.36 × 560.12
  4. Step 4: Simplify right side
    910.04x = 703,152.24
  5. Step 5: Solve for x
    x = 703,152.24/910.04
  6. Step 6: Final answer
    x = 772.66

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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.