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Finding the Fourth Proportional to 2,318.78, 3,478.08 and 587.39

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Solution

The fourth proportional to 2,318.78, 3,478.08 and 587.39 is: 881.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.78 : 3,478.08 = 587.39 : x
  2. Step 2: Convert to fraction form
    2,318.78/3,478.08 = 587.39/x
  3. Step 3: Cross multiply
    2,318.78x = 3,478.08 × 587.39
  4. Step 4: Simplify right side
    2,318.78x = 2,042,989.41
  5. Step 5: Solve for x
    x = 2,042,989.41/2,318.78
  6. Step 6: Final answer
    x = 881.06

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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.