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Finding the Fourth Proportional to 842.32, 1,262.66 and 431.65

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Solution

The fourth proportional to 842.32, 1,262.66 and 431.65 is: 647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.32 : 1,262.66 = 431.65 : x
  2. Step 2: Convert to fraction form
    842.32/1,262.66 = 431.65/x
  3. Step 3: Cross multiply
    842.32x = 1,262.66 × 431.65
  4. Step 4: Simplify right side
    842.32x = 545,027.19
  5. Step 5: Solve for x
    x = 545,027.19/842.32
  6. Step 6: Final answer
    x = 647.05

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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.