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Finding the Fourth Proportional to 671.40, 1,007.70 and 580.20

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Solution

The fourth proportional to 671.40, 1,007.70 and 580.20 is: 870.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.40 : 1,007.70 = 580.20 : x
  2. Step 2: Convert to fraction form
    671.40/1,007.70 = 580.20/x
  3. Step 3: Cross multiply
    671.40x = 1,007.70 × 580.20
  4. Step 4: Simplify right side
    671.40x = 584,667.54
  5. Step 5: Solve for x
    x = 584,667.54/671.40
  6. Step 6: Final answer
    x = 870.82

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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.