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Finding the Fourth Proportional to 1,148.57, 1,722.86 and 282.88

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Solution

The fourth proportional to 1,148.57, 1,722.86 and 282.88 is: 424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.57 : 1,722.86 = 282.88 : x
  2. Step 2: Convert to fraction form
    1,148.57/1,722.86 = 282.88/x
  3. Step 3: Cross multiply
    1,148.57x = 1,722.86 × 282.88
  4. Step 4: Simplify right side
    1,148.57x = 487,362.64
  5. Step 5: Solve for x
    x = 487,362.64/1,148.57
  6. Step 6: Final answer
    x = 424.32

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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.