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Finding the Fourth Proportional to 842.55, 1,262.48 and 431.07

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Solution

The fourth proportional to 842.55, 1,262.48 and 431.07 is: 645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.55 : 1,262.48 = 431.07 : x
  2. Step 2: Convert to fraction form
    842.55/1,262.48 = 431.07/x
  3. Step 3: Cross multiply
    842.55x = 1,262.48 × 431.07
  4. Step 4: Simplify right side
    842.55x = 544,215.10
  5. Step 5: Solve for x
    x = 544,215.10/842.55
  6. Step 6: Final answer
    x = 645.91

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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.