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Finding the Fourth Proportional to 822.70, 1,233.10 and 412.12

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Solution

The fourth proportional to 822.70, 1,233.10 and 412.12 is: 617.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.70 : 1,233.10 = 412.12 : x
  2. Step 2: Convert to fraction form
    822.70/1,233.10 = 412.12/x
  3. Step 3: Cross multiply
    822.70x = 1,233.10 × 412.12
  4. Step 4: Simplify right side
    822.70x = 508,185.17
  5. Step 5: Solve for x
    x = 508,185.17/822.70
  6. Step 6: Final answer
    x = 617.70

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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.