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Finding the Fourth Proportional to 2,374.01, 3,560.74 and 642.50

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Solution

The fourth proportional to 2,374.01, 3,560.74 and 642.50 is: 963.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.01 : 3,560.74 = 642.50 : x
  2. Step 2: Convert to fraction form
    2,374.01/3,560.74 = 642.50/x
  3. Step 3: Cross multiply
    2,374.01x = 3,560.74 × 642.50
  4. Step 4: Simplify right side
    2,374.01x = 2,287,775.45
  5. Step 5: Solve for x
    x = 2,287,775.45/2,374.01
  6. Step 6: Final answer
    x = 963.68

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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.