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Finding the Fourth Proportional to 1,148.78, 1,722.32 and 572.06

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Solution

The fourth proportional to 1,148.78, 1,722.32 and 572.06 is: 857.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.78 : 1,722.32 = 572.06 : x
  2. Step 2: Convert to fraction form
    1,148.78/1,722.32 = 572.06/x
  3. Step 3: Cross multiply
    1,148.78x = 1,722.32 × 572.06
  4. Step 4: Simplify right side
    1,148.78x = 985,267.52
  5. Step 5: Solve for x
    x = 985,267.52/1,148.78
  6. Step 6: Final answer
    x = 857.66

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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.