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Finding the Fourth Proportional to 873.07, 1,308.41 and 482.49

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Solution

The fourth proportional to 873.07, 1,308.41 and 482.49 is: 723.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.07 : 1,308.41 = 482.49 : x
  2. Step 2: Convert to fraction form
    873.07/1,308.41 = 482.49/x
  3. Step 3: Cross multiply
    873.07x = 1,308.41 × 482.49
  4. Step 4: Simplify right side
    873.07x = 631,294.14
  5. Step 5: Solve for x
    x = 631,294.14/873.07
  6. Step 6: Final answer
    x = 723.08

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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.