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Finding the Fourth Proportional to 1,113.65, 1,537.54 and 715.49

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Solution

The fourth proportional to 1,113.65, 1,537.54 and 715.49 is: 987.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.65 : 1,537.54 = 715.49 : x
  2. Step 2: Convert to fraction form
    1,113.65/1,537.54 = 715.49/x
  3. Step 3: Cross multiply
    1,113.65x = 1,537.54 × 715.49
  4. Step 4: Simplify right side
    1,113.65x = 1,100,103.46
  5. Step 5: Solve for x
    x = 1,100,103.46/1,113.65
  6. Step 6: Final answer
    x = 987.83

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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.