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Finding the Fourth Proportional to 842.07, 1,162.07 and 463.98

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Solution

The fourth proportional to 842.07, 1,162.07 and 463.98 is: 640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.07 : 1,162.07 = 463.98 : x
  2. Step 2: Convert to fraction form
    842.07/1,162.07 = 463.98/x
  3. Step 3: Cross multiply
    842.07x = 1,162.07 × 463.98
  4. Step 4: Simplify right side
    842.07x = 539,177.24
  5. Step 5: Solve for x
    x = 539,177.24/842.07
  6. Step 6: Final answer
    x = 640.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.