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Finding the Fourth Proportional to 670.84, 921.86 and 560.13

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Solution

The fourth proportional to 670.84, 921.86 and 560.13 is: 769.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.84 : 921.86 = 560.13 : x
  2. Step 2: Convert to fraction form
    670.84/921.86 = 560.13/x
  3. Step 3: Cross multiply
    670.84x = 921.86 × 560.13
  4. Step 4: Simplify right side
    670.84x = 516,361.44
  5. Step 5: Solve for x
    x = 516,361.44/670.84
  6. Step 6: Final answer
    x = 769.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.