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Finding the Fourth Proportional to 873.11, 1,308.68 and 482.91

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Solution

The fourth proportional to 873.11, 1,308.68 and 482.91 is: 723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.11 : 1,308.68 = 482.91 : x
  2. Step 2: Convert to fraction form
    873.11/1,308.68 = 482.91/x
  3. Step 3: Cross multiply
    873.11x = 1,308.68 × 482.91
  4. Step 4: Simplify right side
    873.11x = 631,976.23
  5. Step 5: Solve for x
    x = 631,976.23/873.11
  6. Step 6: Final answer
    x = 723.82

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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.