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Finding the Fourth Proportional to 2,387.55, 3,580.93 and 632.66

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Solution

The fourth proportional to 2,387.55, 3,580.93 and 632.66 is: 948.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.55 : 3,580.93 = 632.66 : x
  2. Step 2: Convert to fraction form
    2,387.55/3,580.93 = 632.66/x
  3. Step 3: Cross multiply
    2,387.55x = 3,580.93 × 632.66
  4. Step 4: Simplify right side
    2,387.55x = 2,265,506.31
  5. Step 5: Solve for x
    x = 2,265,506.31/2,387.55
  6. Step 6: Final answer
    x = 948.88

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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.