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Finding the Fourth Proportional to 873.62, 1,304.68 and 700.55

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Solution

The fourth proportional to 873.62, 1,304.68 and 700.55 is: 1,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.62 : 1,304.68 = 700.55 : x
  2. Step 2: Convert to fraction form
    873.62/1,304.68 = 700.55/x
  3. Step 3: Cross multiply
    873.62x = 1,304.68 × 700.55
  4. Step 4: Simplify right side
    873.62x = 913,993.57
  5. Step 5: Solve for x
    x = 913,993.57/873.62
  6. Step 6: Final answer
    x = 1,046.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.