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Finding the Fourth Proportional to 711.48, 980.64 and 545.33

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Solution

The fourth proportional to 711.48, 980.64 and 545.33 is: 751.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.48 : 980.64 = 545.33 : x
  2. Step 2: Convert to fraction form
    711.48/980.64 = 545.33/x
  3. Step 3: Cross multiply
    711.48x = 980.64 × 545.33
  4. Step 4: Simplify right side
    711.48x = 534,772.41
  5. Step 5: Solve for x
    x = 534,772.41/711.48
  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.