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Finding the Fourth Proportional to 979.95, 1,470.32 and 517.61

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Solution

The fourth proportional to 979.95, 1,470.32 and 517.61 is: 776.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.95 : 1,470.32 = 517.61 : x
  2. Step 2: Convert to fraction form
    979.95/1,470.32 = 517.61/x
  3. Step 3: Cross multiply
    979.95x = 1,470.32 × 517.61
  4. Step 4: Simplify right side
    979.95x = 761,057.31
  5. Step 5: Solve for x
    x = 761,057.31/979.95
  6. Step 6: Final answer
    x = 776.63

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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.