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Finding the Fourth Proportional to 909.02, 1,363.57 and 861.64

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Solution

The fourth proportional to 909.02, 1,363.57 and 861.64 is: 1,292.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.02 : 1,363.57 = 861.64 : x
  2. Step 2: Convert to fraction form
    909.02/1,363.57 = 861.64/x
  3. Step 3: Cross multiply
    909.02x = 1,363.57 × 861.64
  4. Step 4: Simplify right side
    909.02x = 1,174,900.89
  5. Step 5: Solve for x
    x = 1,174,900.89/909.02
  6. Step 6: Final answer
    x = 1,292.49

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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.