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Finding the Fourth Proportional to 922.68, 1,390.98 and 860.04

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Solution

The fourth proportional to 922.68, 1,390.98 and 860.04 is: 1,296.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.68 : 1,390.98 = 860.04 : x
  2. Step 2: Convert to fraction form
    922.68/1,390.98 = 860.04/x
  3. Step 3: Cross multiply
    922.68x = 1,390.98 × 860.04
  4. Step 4: Simplify right side
    922.68x = 1,196,298.44
  5. Step 5: Solve for x
    x = 1,196,298.44/922.68
  6. Step 6: Final answer
    x = 1,296.55

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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.