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Finding the Fourth Proportional to 1,560.65, 2,153.72 and 888.56

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Solution

The fourth proportional to 1,560.65, 2,153.72 and 888.56 is: 1,226.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.65 : 2,153.72 = 888.56 : x
  2. Step 2: Convert to fraction form
    1,560.65/2,153.72 = 888.56/x
  3. Step 3: Cross multiply
    1,560.65x = 2,153.72 × 888.56
  4. Step 4: Simplify right side
    1,560.65x = 1,913,694.23
  5. Step 5: Solve for x
    x = 1,913,694.23/1,560.65
  6. Step 6: Final answer
    x = 1,226.22

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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.