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Finding the Fourth Proportional to 1,187.13, 1,637.74 and 715.02

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Solution

The fourth proportional to 1,187.13, 1,637.74 and 715.02 is: 986.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.13 : 1,637.74 = 715.02 : x
  2. Step 2: Convert to fraction form
    1,187.13/1,637.74 = 715.02/x
  3. Step 3: Cross multiply
    1,187.13x = 1,637.74 × 715.02
  4. Step 4: Simplify right side
    1,187.13x = 1,171,016.85
  5. Step 5: Solve for x
    x = 1,171,016.85/1,187.13
  6. Step 6: Final answer
    x = 986.43

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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.