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Finding the Fourth Proportional to 842.20, 1,159.05 and 693.70

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Solution

The fourth proportional to 842.20, 1,159.05 and 693.70 is: 954.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.20 : 1,159.05 = 693.70 : x
  2. Step 2: Convert to fraction form
    842.20/1,159.05 = 693.70/x
  3. Step 3: Cross multiply
    842.20x = 1,159.05 × 693.70
  4. Step 4: Simplify right side
    842.20x = 804,032.99
  5. Step 5: Solve for x
    x = 804,032.99/842.20
  6. Step 6: Final answer
    x = 954.68

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1.5x scale

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.