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Finding the Fourth Proportional to 1,253.39, 1,880.18 and 387.69

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Solution

The fourth proportional to 1,253.39, 1,880.18 and 387.69 is: 581.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.39 : 1,880.18 = 387.69 : x
  2. Step 2: Convert to fraction form
    1,253.39/1,880.18 = 387.69/x
  3. Step 3: Cross multiply
    1,253.39x = 1,880.18 × 387.69
  4. Step 4: Simplify right side
    1,253.39x = 728,925.05
  5. Step 5: Solve for x
    x = 728,925.05/1,253.39
  6. Step 6: Final answer
    x = 581.57

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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.