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Finding the Fourth Proportional to 924.55, 1,386.34 and 819.28

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Solution

The fourth proportional to 924.55, 1,386.34 and 819.28 is: 1,228.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.55 : 1,386.34 = 819.28 : x
  2. Step 2: Convert to fraction form
    924.55/1,386.34 = 819.28/x
  3. Step 3: Cross multiply
    924.55x = 1,386.34 × 819.28
  4. Step 4: Simplify right side
    924.55x = 1,135,800.64
  5. Step 5: Solve for x
    x = 1,135,800.64/924.55
  6. Step 6: Final answer
    x = 1,228.49

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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.