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Finding the Fourth Proportional to 979.64, 1,470.10 and 810.68

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Solution

The fourth proportional to 979.64, 1,470.10 and 810.68 is: 1,216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.64 : 1,470.10 = 810.68 : x
  2. Step 2: Convert to fraction form
    979.64/1,470.10 = 810.68/x
  3. Step 3: Cross multiply
    979.64x = 1,470.10 × 810.68
  4. Step 4: Simplify right side
    979.64x = 1,191,780.67
  5. Step 5: Solve for x
    x = 1,191,780.67/979.64
  6. Step 6: Final answer
    x = 1,216.55

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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.