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Finding the Fourth Proportional to 973.43, 1,459.88 and 279.91

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Solution

The fourth proportional to 973.43, 1,459.88 and 279.91 is: 419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.43 : 1,459.88 = 279.91 : x
  2. Step 2: Convert to fraction form
    973.43/1,459.88 = 279.91/x
  3. Step 3: Cross multiply
    973.43x = 1,459.88 × 279.91
  4. Step 4: Simplify right side
    973.43x = 408,641.38
  5. Step 5: Solve for x
    x = 408,641.38/973.43
  6. Step 6: Final answer
    x = 419.79

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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.