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Finding the Fourth Proportional to 1,327.04, 1,830.92 and 928.28

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Solution

The fourth proportional to 1,327.04, 1,830.92 and 928.28 is: 1,280.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.04 : 1,830.92 = 928.28 : x
  2. Step 2: Convert to fraction form
    1,327.04/1,830.92 = 928.28/x
  3. Step 3: Cross multiply
    1,327.04x = 1,830.92 × 928.28
  4. Step 4: Simplify right side
    1,327.04x = 1,699,606.42
  5. Step 5: Solve for x
    x = 1,699,606.42/1,327.04
  6. Step 6: Final answer
    x = 1,280.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.