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Finding the Fourth Proportional to 885.12, 1,328.64 and 538.80

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Solution

The fourth proportional to 885.12, 1,328.64 and 538.80 is: 808.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.12 : 1,328.64 = 538.80 : x
  2. Step 2: Convert to fraction form
    885.12/1,328.64 = 538.80/x
  3. Step 3: Cross multiply
    885.12x = 1,328.64 × 538.80
  4. Step 4: Simplify right side
    885.12x = 715,871.23
  5. Step 5: Solve for x
    x = 715,871.23/885.12
  6. Step 6: Final answer
    x = 808.78

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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.