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Finding the Fourth Proportional to 718.65, 1,076.13 and 580.14

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Solution

The fourth proportional to 718.65, 1,076.13 and 580.14 is: 868.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.65 : 1,076.13 = 580.14 : x
  2. Step 2: Convert to fraction form
    718.65/1,076.13 = 580.14/x
  3. Step 3: Cross multiply
    718.65x = 1,076.13 × 580.14
  4. Step 4: Simplify right side
    718.65x = 624,306.06
  5. Step 5: Solve for x
    x = 624,306.06/718.65
  6. Step 6: Final answer
    x = 868.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.