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Finding the Fourth Proportional to 670.74, 925.43 and 560.04

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Solution

The fourth proportional to 670.74, 925.43 and 560.04 is: 772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.74 : 925.43 = 560.04 : x
  2. Step 2: Convert to fraction form
    670.74/925.43 = 560.04/x
  3. Step 3: Cross multiply
    670.74x = 925.43 × 560.04
  4. Step 4: Simplify right side
    670.74x = 518,279.22
  5. Step 5: Solve for x
    x = 518,279.22/670.74
  6. Step 6: Final answer
    x = 772.70

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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.