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Finding the Fourth Proportional to 1,075.87, 1,615.43 and 614.17

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Solution

The fourth proportional to 1,075.87, 1,615.43 and 614.17 is: 922.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.87 : 1,615.43 = 614.17 : x
  2. Step 2: Convert to fraction form
    1,075.87/1,615.43 = 614.17/x
  3. Step 3: Cross multiply
    1,075.87x = 1,615.43 × 614.17
  4. Step 4: Simplify right side
    1,075.87x = 992,148.64
  5. Step 5: Solve for x
    x = 992,148.64/1,075.87
  6. Step 6: Final answer
    x = 922.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.