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Finding the Fourth Proportional to 979.60, 1,469.64 and 547.06

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Solution

The fourth proportional to 979.60, 1,469.64 and 547.06 is: 820.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.60 : 1,469.64 = 547.06 : x
  2. Step 2: Convert to fraction form
    979.60/1,469.64 = 547.06/x
  3. Step 3: Cross multiply
    979.60x = 1,469.64 × 547.06
  4. Step 4: Simplify right side
    979.60x = 803,981.26
  5. Step 5: Solve for x
    x = 803,981.26/979.60
  6. Step 6: Final answer
    x = 820.72

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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.