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Finding the Fourth Proportional to 678.17, 1,012.47 and 580.70

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Solution

The fourth proportional to 678.17, 1,012.47 and 580.70 is: 866.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.17 : 1,012.47 = 580.70 : x
  2. Step 2: Convert to fraction form
    678.17/1,012.47 = 580.70/x
  3. Step 3: Cross multiply
    678.17x = 1,012.47 × 580.70
  4. Step 4: Simplify right side
    678.17x = 587,941.68
  5. Step 5: Solve for x
    x = 587,941.68/678.17
  6. Step 6: Final answer
    x = 866.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.