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Finding the Fourth Proportional to 839.55, 1,159.68 and 645.46

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Solution

The fourth proportional to 839.55, 1,159.68 and 645.46 is: 891.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.55 : 1,159.68 = 645.46 : x
  2. Step 2: Convert to fraction form
    839.55/1,159.68 = 645.46/x
  3. Step 3: Cross multiply
    839.55x = 1,159.68 × 645.46
  4. Step 4: Simplify right side
    839.55x = 748,527.05
  5. Step 5: Solve for x
    x = 748,527.05/839.55
  6. Step 6: Final answer
    x = 891.58

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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.