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Finding the Fourth Proportional to 910.74, 1,364.88 and 478.20

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Solution

The fourth proportional to 910.74, 1,364.88 and 478.20 is: 716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.74 : 1,364.88 = 478.20 : x
  2. Step 2: Convert to fraction form
    910.74/1,364.88 = 478.20/x
  3. Step 3: Cross multiply
    910.74x = 1,364.88 × 478.20
  4. Step 4: Simplify right side
    910.74x = 652,685.62
  5. Step 5: Solve for x
    x = 652,685.62/910.74
  6. Step 6: Final answer
    x = 716.65

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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.