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Finding the Fourth Proportional to 1,112.25, 1,534.99 and 614.93

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Solution

The fourth proportional to 1,112.25, 1,534.99 and 614.93 is: 848.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.25 : 1,534.99 = 614.93 : x
  2. Step 2: Convert to fraction form
    1,112.25/1,534.99 = 614.93/x
  3. Step 3: Cross multiply
    1,112.25x = 1,534.99 × 614.93
  4. Step 4: Simplify right side
    1,112.25x = 943,911.40
  5. Step 5: Solve for x
    x = 943,911.40/1,112.25
  6. Step 6: Final answer
    x = 848.65

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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.