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Finding the Fourth Proportional to 711.14, 980.43 and 545.18

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Solution

The fourth proportional to 711.14, 980.43 and 545.18 is: 751.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.14 : 980.43 = 545.18 : x
  2. Step 2: Convert to fraction form
    711.14/980.43 = 545.18/x
  3. Step 3: Cross multiply
    711.14x = 980.43 × 545.18
  4. Step 4: Simplify right side
    711.14x = 534,510.83
  5. Step 5: Solve for x
    x = 534,510.83/711.14
  6. Step 6: Final answer
    x = 751.63

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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.