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Finding the Fourth Proportional to 464.40, 689.40 and 444.96

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Solution

The fourth proportional to 464.40, 689.40 and 444.96 is: 660.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.40 : 689.40 = 444.96 : x
  2. Step 2: Convert to fraction form
    464.40/689.40 = 444.96/x
  3. Step 3: Cross multiply
    464.40x = 689.40 × 444.96
  4. Step 4: Simplify right side
    464.40x = 306,755.42
  5. Step 5: Solve for x
    x = 306,755.42/464.40
  6. Step 6: Final answer
    x = 660.54

Related Problems

Find fourth proportional to 232.20, 344.70 and 222.48
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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 (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.