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Finding the Fourth Proportional to 1,187.30, 1,638.62 and 715.44

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Solution

The fourth proportional to 1,187.30, 1,638.62 and 715.44 is: 987.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.30 : 1,638.62 = 715.44 : x
  2. Step 2: Convert to fraction form
    1,187.30/1,638.62 = 715.44/x
  3. Step 3: Cross multiply
    1,187.30x = 1,638.62 × 715.44
  4. Step 4: Simplify right side
    1,187.30x = 1,172,334.29
  5. Step 5: Solve for x
    x = 1,172,334.29/1,187.30
  6. Step 6: Final answer
    x = 987.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.