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Finding the Fourth Proportional to 663.24, 914.09 and 497.15

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Solution

The fourth proportional to 663.24, 914.09 and 497.15 is: 685.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.24 : 914.09 = 497.15 : x
  2. Step 2: Convert to fraction form
    663.24/914.09 = 497.15/x
  3. Step 3: Cross multiply
    663.24x = 914.09 × 497.15
  4. Step 4: Simplify right side
    663.24x = 454,439.84
  5. Step 5: Solve for x
    x = 454,439.84/663.24
  6. Step 6: Final answer
    x = 685.18

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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.