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Finding the Fourth Proportional to 1,591.47, 2,383.65 and 770.31

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Solution

The fourth proportional to 1,591.47, 2,383.65 and 770.31 is: 1,153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.47 : 2,383.65 = 770.31 : x
  2. Step 2: Convert to fraction form
    1,591.47/2,383.65 = 770.31/x
  3. Step 3: Cross multiply
    1,591.47x = 2,383.65 × 770.31
  4. Step 4: Simplify right side
    1,591.47x = 1,836,149.43
  5. Step 5: Solve for x
    x = 1,836,149.43/1,591.47
  6. Step 6: Final answer
    x = 1,153.74

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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.