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Finding the Fourth Proportional to 678.72, 935.28 and 471.36

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Solution

The fourth proportional to 678.72, 935.28 and 471.36 is: 649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.72 : 935.28 = 471.36 : x
  2. Step 2: Convert to fraction form
    678.72/935.28 = 471.36/x
  3. Step 3: Cross multiply
    678.72x = 935.28 × 471.36
  4. Step 4: Simplify right side
    678.72x = 440,853.58
  5. Step 5: Solve for x
    x = 440,853.58/678.72
  6. Step 6: Final answer
    x = 649.54

Related Problems

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Double scale
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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.