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Finding the Fourth Proportional to 821.49, 1,232.75 and 456.53

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Solution

The fourth proportional to 821.49, 1,232.75 and 456.53 is: 685.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.49 : 1,232.75 = 456.53 : x
  2. Step 2: Convert to fraction form
    821.49/1,232.75 = 456.53/x
  3. Step 3: Cross multiply
    821.49x = 1,232.75 × 456.53
  4. Step 4: Simplify right side
    821.49x = 562,778.91
  5. Step 5: Solve for x
    x = 562,778.91/821.49
  6. Step 6: Final answer
    x = 685.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.