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Finding the Fourth Proportional to 873.29, 1,308.14 and 740.93

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Solution

The fourth proportional to 873.29, 1,308.14 and 740.93 is: 1,109.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.29 : 1,308.14 = 740.93 : x
  2. Step 2: Convert to fraction form
    873.29/1,308.14 = 740.93/x
  3. Step 3: Cross multiply
    873.29x = 1,308.14 × 740.93
  4. Step 4: Simplify right side
    873.29x = 969,235.48
  5. Step 5: Solve for x
    x = 969,235.48/873.29
  6. Step 6: Final answer
    x = 1,109.87

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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.