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Finding the Fourth Proportional to 874.39, 1,317.61 and 723.72

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Solution

The fourth proportional to 874.39, 1,317.61 and 723.72 is: 1,090.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.39 : 1,317.61 = 723.72 : x
  2. Step 2: Convert to fraction form
    874.39/1,317.61 = 723.72/x
  3. Step 3: Cross multiply
    874.39x = 1,317.61 × 723.72
  4. Step 4: Simplify right side
    874.39x = 953,580.71
  5. Step 5: Solve for x
    x = 953,580.71/874.39
  6. Step 6: Final answer
    x = 1,090.57

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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.