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Finding the Fourth Proportional to 842.24, 1,263.06 and 431.12

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Solution

The fourth proportional to 842.24, 1,263.06 and 431.12 is: 646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.24 : 1,263.06 = 431.12 : x
  2. Step 2: Convert to fraction form
    842.24/1,263.06 = 431.12/x
  3. Step 3: Cross multiply
    842.24x = 1,263.06 × 431.12
  4. Step 4: Simplify right side
    842.24x = 544,530.43
  5. Step 5: Solve for x
    x = 544,530.43/842.24
  6. Step 6: Final answer
    x = 646.53

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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.