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Finding the Fourth Proportional to 873.28, 1,308.61 and 790.96

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Solution

The fourth proportional to 873.28, 1,308.61 and 790.96 is: 1,185.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.28 : 1,308.61 = 790.96 : x
  2. Step 2: Convert to fraction form
    873.28/1,308.61 = 790.96/x
  3. Step 3: Cross multiply
    873.28x = 1,308.61 × 790.96
  4. Step 4: Simplify right side
    873.28x = 1,035,058.17
  5. Step 5: Solve for x
    x = 1,035,058.17/873.28
  6. Step 6: Final answer
    x = 1,185.25

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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.