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Finding the Fourth Proportional to 712.90, 1,065.22 and 545.19

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Solution

The fourth proportional to 712.90, 1,065.22 and 545.19 is: 814.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.90 : 1,065.22 = 545.19 : x
  2. Step 2: Convert to fraction form
    712.90/1,065.22 = 545.19/x
  3. Step 3: Cross multiply
    712.90x = 1,065.22 × 545.19
  4. Step 4: Simplify right side
    712.90x = 580,747.29
  5. Step 5: Solve for x
    x = 580,747.29/712.90
  6. Step 6: Final answer
    x = 814.63

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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.