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Finding the Fourth Proportional to 908.61, 1,363.93 and 675.21

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Solution

The fourth proportional to 908.61, 1,363.93 and 675.21 is: 1,013.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.61 : 1,363.93 = 675.21 : x
  2. Step 2: Convert to fraction form
    908.61/1,363.93 = 675.21/x
  3. Step 3: Cross multiply
    908.61x = 1,363.93 × 675.21
  4. Step 4: Simplify right side
    908.61x = 920,939.18
  5. Step 5: Solve for x
    x = 920,939.18/908.61
  6. Step 6: Final answer
    x = 1,013.57

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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.