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Finding the Fourth Proportional to 829.70, 1,144.96 and 456.66

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Solution

The fourth proportional to 829.70, 1,144.96 and 456.66 is: 630.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.70 : 1,144.96 = 456.66 : x
  2. Step 2: Convert to fraction form
    829.70/1,144.96 = 456.66/x
  3. Step 3: Cross multiply
    829.70x = 1,144.96 × 456.66
  4. Step 4: Simplify right side
    829.70x = 522,856.29
  5. Step 5: Solve for x
    x = 522,856.29/829.70
  6. Step 6: Final answer
    x = 630.17

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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.