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Finding the Fourth Proportional to 898.52, 1,354.22 and 848.28

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Solution

The fourth proportional to 898.52, 1,354.22 and 848.28 is: 1,278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.52 : 1,354.22 = 848.28 : x
  2. Step 2: Convert to fraction form
    898.52/1,354.22 = 848.28/x
  3. Step 3: Cross multiply
    898.52x = 1,354.22 × 848.28
  4. Step 4: Simplify right side
    898.52x = 1,148,753.50
  5. Step 5: Solve for x
    x = 1,148,753.50/898.52
  6. Step 6: Final answer
    x = 1,278.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.