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Finding the Fourth Proportional to 1,153.62, 1,725.93 and 807.54

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Solution

The fourth proportional to 1,153.62, 1,725.93 and 807.54 is: 1,208.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.62 : 1,725.93 = 807.54 : x
  2. Step 2: Convert to fraction form
    1,153.62/1,725.93 = 807.54/x
  3. Step 3: Cross multiply
    1,153.62x = 1,725.93 × 807.54
  4. Step 4: Simplify right side
    1,153.62x = 1,393,757.51
  5. Step 5: Solve for x
    x = 1,393,757.51/1,153.62
  6. Step 6: Final answer
    x = 1,208.16

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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.