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Finding the Fourth Proportional to 711.37, 980.85 and 501.58

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Solution

The fourth proportional to 711.37, 980.85 and 501.58 is: 691.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.37 : 980.85 = 501.58 : x
  2. Step 2: Convert to fraction form
    711.37/980.85 = 501.58/x
  3. Step 3: Cross multiply
    711.37x = 980.85 × 501.58
  4. Step 4: Simplify right side
    711.37x = 491,974.74
  5. Step 5: Solve for x
    x = 491,974.74/711.37
  6. Step 6: Final answer
    x = 691.59

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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.