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Finding the Fourth Proportional to 1,111.99, 1,534.49 and 614.62

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Solution

The fourth proportional to 1,111.99, 1,534.49 and 614.62 is: 848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.99 : 1,534.49 = 614.62 : x
  2. Step 2: Convert to fraction form
    1,111.99/1,534.49 = 614.62/x
  3. Step 3: Cross multiply
    1,111.99x = 1,534.49 × 614.62
  4. Step 4: Simplify right side
    1,111.99x = 943,120.57
  5. Step 5: Solve for x
    x = 943,120.57/1,111.99
  6. Step 6: Final answer
    x = 848.14

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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.