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Finding the Fourth Proportional to 885.47, 1,328.40 and 337.82

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Solution

The fourth proportional to 885.47, 1,328.40 and 337.82 is: 506.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.47 : 1,328.40 = 337.82 : x
  2. Step 2: Convert to fraction form
    885.47/1,328.40 = 337.82/x
  3. Step 3: Cross multiply
    885.47x = 1,328.40 × 337.82
  4. Step 4: Simplify right side
    885.47x = 448,753.45
  5. Step 5: Solve for x
    x = 448,753.45/885.47
  6. Step 6: Final answer
    x = 506.80

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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.