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Finding the Fourth Proportional to 660.75, 912.23 and 464.46

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Solution

The fourth proportional to 660.75, 912.23 and 464.46 is: 641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.75 : 912.23 = 464.46 : x
  2. Step 2: Convert to fraction form
    660.75/912.23 = 464.46/x
  3. Step 3: Cross multiply
    660.75x = 912.23 × 464.46
  4. Step 4: Simplify right side
    660.75x = 423,694.35
  5. Step 5: Solve for x
    x = 423,694.35/660.75
  6. Step 6: Final answer
    x = 641.23

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Find fourth proportional to 330.38, 456.12 and 232.23
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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.