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Finding the Fourth Proportional to 885.61, 1,328.42 and 365.91

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Solution

The fourth proportional to 885.61, 1,328.42 and 365.91 is: 548.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.61 : 1,328.42 = 365.91 : x
  2. Step 2: Convert to fraction form
    885.61/1,328.42 = 365.91/x
  3. Step 3: Cross multiply
    885.61x = 1,328.42 × 365.91
  4. Step 4: Simplify right side
    885.61x = 486,082.16
  5. Step 5: Solve for x
    x = 486,082.16/885.61
  6. Step 6: Final answer
    x = 548.87

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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.