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Finding the Fourth Proportional to 1,108.70, 1,529.14 and 715.04

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Solution

The fourth proportional to 1,108.70, 1,529.14 and 715.04 is: 986.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.70 : 1,529.14 = 715.04 : x
  2. Step 2: Convert to fraction form
    1,108.70/1,529.14 = 715.04/x
  3. Step 3: Cross multiply
    1,108.70x = 1,529.14 × 715.04
  4. Step 4: Simplify right side
    1,108.70x = 1,093,388.62
  5. Step 5: Solve for x
    x = 1,093,388.62/1,108.70
  6. Step 6: Final answer
    x = 986.19

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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.