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Finding the Fourth Proportional to 979.11, 1,468.80 and 431.75

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Solution

The fourth proportional to 979.11, 1,468.80 and 431.75 is: 647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.11 : 1,468.80 = 431.75 : x
  2. Step 2: Convert to fraction form
    979.11/1,468.80 = 431.75/x
  3. Step 3: Cross multiply
    979.11x = 1,468.80 × 431.75
  4. Step 4: Simplify right side
    979.11x = 634,158.07
  5. Step 5: Solve for x
    x = 634,158.07/979.11
  6. Step 6: Final answer
    x = 647.69

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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.