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Finding the Fourth Proportional to 711.05, 978.92 and 553.47

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Solution

The fourth proportional to 711.05, 978.92 and 553.47 is: 761.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.05 : 978.92 = 553.47 : x
  2. Step 2: Convert to fraction form
    711.05/978.92 = 553.47/x
  3. Step 3: Cross multiply
    711.05x = 978.92 × 553.47
  4. Step 4: Simplify right side
    711.05x = 541,798.49
  5. Step 5: Solve for x
    x = 541,798.49/711.05
  6. Step 6: Final answer
    x = 761.97

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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.