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Finding the Fourth Proportional to 2,565.59, 3,848.39 and 617.79

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Solution

The fourth proportional to 2,565.59, 3,848.39 and 617.79 is: 926.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.59 : 3,848.39 = 617.79 : x
  2. Step 2: Convert to fraction form
    2,565.59/3,848.39 = 617.79/x
  3. Step 3: Cross multiply
    2,565.59x = 3,848.39 × 617.79
  4. Step 4: Simplify right side
    2,565.59x = 2,377,508.20
  5. Step 5: Solve for x
    x = 2,377,508.20/2,565.59
  6. Step 6: Final answer
    x = 926.69

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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.