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Finding the Fourth Proportional to 2,374.01, 3,560.75 and 642.77

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Solution

The fourth proportional to 2,374.01, 3,560.75 and 642.77 is: 964.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.01 : 3,560.75 = 642.77 : x
  2. Step 2: Convert to fraction form
    2,374.01/3,560.75 = 642.77/x
  3. Step 3: Cross multiply
    2,374.01x = 3,560.75 × 642.77
  4. Step 4: Simplify right side
    2,374.01x = 2,288,740.06
  5. Step 5: Solve for x
    x = 2,288,740.06/2,374.01
  6. Step 6: Final answer
    x = 964.08

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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.