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Finding the Fourth Proportional to 979.68, 1,468.80 and 492.24

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Solution

The fourth proportional to 979.68, 1,468.80 and 492.24 is: 738.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.68 : 1,468.80 = 492.24 : x
  2. Step 2: Convert to fraction form
    979.68/1,468.80 = 492.24/x
  3. Step 3: Cross multiply
    979.68x = 1,468.80 × 492.24
  4. Step 4: Simplify right side
    979.68x = 723,002.11
  5. Step 5: Solve for x
    x = 723,002.11/979.68
  6. Step 6: Final answer
    x = 738.00

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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.