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Finding the Fourth Proportional to 979.73, 1,468.59 and 431.81

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Solution

The fourth proportional to 979.73, 1,468.59 and 431.81 is: 647.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.73 : 1,468.59 = 431.81 : x
  2. Step 2: Convert to fraction form
    979.73/1,468.59 = 431.81/x
  3. Step 3: Cross multiply
    979.73x = 1,468.59 × 431.81
  4. Step 4: Simplify right side
    979.73x = 634,151.85
  5. Step 5: Solve for x
    x = 634,151.85/979.73
  6. Step 6: Final answer
    x = 647.27

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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.