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Finding the Fourth Proportional to 698.24, 964.00 and 462.39

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Solution

The fourth proportional to 698.24, 964.00 and 462.39 is: 638.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.24 : 964.00 = 462.39 : x
  2. Step 2: Convert to fraction form
    698.24/964.00 = 462.39/x
  3. Step 3: Cross multiply
    698.24x = 964.00 × 462.39
  4. Step 4: Simplify right side
    698.24x = 445,747.02
  5. Step 5: Solve for x
    x = 445,747.02/698.24
  6. Step 6: Final answer
    x = 638.38

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Double scale
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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.