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Finding the Fourth Proportional to 864.99, 1,193.67 and 491.99

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Solution

The fourth proportional to 864.99, 1,193.67 and 491.99 is: 678.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.99 : 1,193.67 = 491.99 : x
  2. Step 2: Convert to fraction form
    864.99/1,193.67 = 491.99/x
  3. Step 3: Cross multiply
    864.99x = 1,193.67 × 491.99
  4. Step 4: Simplify right side
    864.99x = 587,267.73
  5. Step 5: Solve for x
    x = 587,267.73/864.99
  6. Step 6: Final answer
    x = 678.93

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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.