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Finding the Fourth Proportional to 574.20, 858.96 and 498

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Solution

The fourth proportional to 574.20, 858.96 and 498 is: 744.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.20 : 858.96 = 498 : x
  2. Step 2: Convert to fraction form
    574.20/858.96 = 498/x
  3. Step 3: Cross multiply
    574.20x = 858.96 × 498
  4. Step 4: Simplify right side
    574.20x = 427,762.08
  5. Step 5: Solve for x
    x = 427,762.08/574.20
  6. Step 6: Final answer
    x = 744.97

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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.