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Finding the Fourth Proportional to 2,374.07, 3,560.84 and 642.56

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Solution

The fourth proportional to 2,374.07, 3,560.84 and 642.56 is: 963.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.07 : 3,560.84 = 642.56 : x
  2. Step 2: Convert to fraction form
    2,374.07/3,560.84 = 642.56/x
  3. Step 3: Cross multiply
    2,374.07x = 3,560.84 × 642.56
  4. Step 4: Simplify right side
    2,374.07x = 2,288,061.45
  5. Step 5: Solve for x
    x = 2,288,061.45/2,374.07
  6. Step 6: Final answer
    x = 963.77

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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.