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Finding the Fourth Proportional to 1,172.88, 1,616.67 and 858.20

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Solution

The fourth proportional to 1,172.88, 1,616.67 and 858.20 is: 1,182.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.88 : 1,616.67 = 858.20 : x
  2. Step 2: Convert to fraction form
    1,172.88/1,616.67 = 858.20/x
  3. Step 3: Cross multiply
    1,172.88x = 1,616.67 × 858.20
  4. Step 4: Simplify right side
    1,172.88x = 1,387,426.19
  5. Step 5: Solve for x
    x = 1,387,426.19/1,172.88
  6. Step 6: Final answer
    x = 1,182.92

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1.5x scale

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.