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Finding the Fourth Proportional to 665.83, 991.50 and 658.56

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Solution

The fourth proportional to 665.83, 991.50 and 658.56 is: 980.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.83 : 991.50 = 658.56 : x
  2. Step 2: Convert to fraction form
    665.83/991.50 = 658.56/x
  3. Step 3: Cross multiply
    665.83x = 991.50 × 658.56
  4. Step 4: Simplify right side
    665.83x = 652,955.64
  5. Step 5: Solve for x
    x = 652,955.64/665.83
  6. Step 6: Final answer
    x = 980.66

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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.