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Finding the Fourth Proportional to 821.70, 1,233.06 and 410.85

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Solution

The fourth proportional to 821.70, 1,233.06 and 410.85 is: 616.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.70 : 1,233.06 = 410.85 : x
  2. Step 2: Convert to fraction form
    821.70/1,233.06 = 410.85/x
  3. Step 3: Cross multiply
    821.70x = 1,233.06 × 410.85
  4. Step 4: Simplify right side
    821.70x = 506,602.70
  5. Step 5: Solve for x
    x = 506,602.70/821.70
  6. Step 6: Final answer
    x = 616.53

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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.