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Finding the Fourth Proportional to 1,150.78, 1,725.04 and 457.20

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Solution

The fourth proportional to 1,150.78, 1,725.04 and 457.20 is: 685.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.78 : 1,725.04 = 457.20 : x
  2. Step 2: Convert to fraction form
    1,150.78/1,725.04 = 457.20/x
  3. Step 3: Cross multiply
    1,150.78x = 1,725.04 × 457.20
  4. Step 4: Simplify right side
    1,150.78x = 788,688.29
  5. Step 5: Solve for x
    x = 788,688.29/1,150.78
  6. Step 6: Final answer
    x = 685.35

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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.