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Finding the Fourth Proportional to 674.76, 930.96 and 478.20

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Solution

The fourth proportional to 674.76, 930.96 and 478.20 is: 659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.76 : 930.96 = 478.20 : x
  2. Step 2: Convert to fraction form
    674.76/930.96 = 478.20/x
  3. Step 3: Cross multiply
    674.76x = 930.96 × 478.20
  4. Step 4: Simplify right side
    674.76x = 445,185.07
  5. Step 5: Solve for x
    x = 445,185.07/674.76
  6. Step 6: Final answer
    x = 659.77

Related Problems

Find fourth proportional to 337.38, 465.48 and 239.10
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.