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Finding the Fourth Proportional to 2,373.79, 3,560.68 and 642.41

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Solution

The fourth proportional to 2,373.79, 3,560.68 and 642.41 is: 963.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.79 : 3,560.68 = 642.41 : x
  2. Step 2: Convert to fraction form
    2,373.79/3,560.68 = 642.41/x
  3. Step 3: Cross multiply
    2,373.79x = 3,560.68 × 642.41
  4. Step 4: Simplify right side
    2,373.79x = 2,287,429.21
  5. Step 5: Solve for x
    x = 2,287,429.21/2,373.79
  6. Step 6: Final answer
    x = 963.62

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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.