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Finding the Fourth Proportional to 575.65, 862.62 and 492.94

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Solution

The fourth proportional to 575.65, 862.62 and 492.94 is: 738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.65 : 862.62 = 492.94 : x
  2. Step 2: Convert to fraction form
    575.65/862.62 = 492.94/x
  3. Step 3: Cross multiply
    575.65x = 862.62 × 492.94
  4. Step 4: Simplify right side
    575.65x = 425,219.90
  5. Step 5: Solve for x
    x = 425,219.90/575.65
  6. Step 6: Final answer
    x = 738.68

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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.