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Finding the Fourth Proportional to 574.18, 860.79 and 491.59

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Solution

The fourth proportional to 574.18, 860.79 and 491.59 is: 736.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.18 : 860.79 = 491.59 : x
  2. Step 2: Convert to fraction form
    574.18/860.79 = 491.59/x
  3. Step 3: Cross multiply
    574.18x = 860.79 × 491.59
  4. Step 4: Simplify right side
    574.18x = 423,159.02
  5. Step 5: Solve for x
    x = 423,159.02/574.18
  6. Step 6: Final answer
    x = 736.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.