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Finding the Fourth Proportional to 578.19, 867.29 and 498.91

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Solution

The fourth proportional to 578.19, 867.29 and 498.91 is: 748.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.19 : 867.29 = 498.91 : x
  2. Step 2: Convert to fraction form
    578.19/867.29 = 498.91/x
  3. Step 3: Cross multiply
    578.19x = 867.29 × 498.91
  4. Step 4: Simplify right side
    578.19x = 432,699.65
  5. Step 5: Solve for x
    x = 432,699.65/578.19
  6. Step 6: Final answer
    x = 748.37

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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.