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Finding the Fourth Proportional to 979.90, 1,470.21 and 432.88

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Solution

The fourth proportional to 979.90, 1,470.21 and 432.88 is: 649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.90 : 1,470.21 = 432.88 : x
  2. Step 2: Convert to fraction form
    979.90/1,470.21 = 432.88/x
  3. Step 3: Cross multiply
    979.90x = 1,470.21 × 432.88
  4. Step 4: Simplify right side
    979.90x = 636,424.50
  5. Step 5: Solve for x
    x = 636,424.50/979.90
  6. Step 6: Final answer
    x = 649.48

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Double scale
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1.5x scale

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.