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Finding the Fourth Proportional to 885.35, 1,328.02 and 421.72

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Solution

The fourth proportional to 885.35, 1,328.02 and 421.72 is: 632.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.35 : 1,328.02 = 421.72 : x
  2. Step 2: Convert to fraction form
    885.35/1,328.02 = 421.72/x
  3. Step 3: Cross multiply
    885.35x = 1,328.02 × 421.72
  4. Step 4: Simplify right side
    885.35x = 560,047.17
  5. Step 5: Solve for x
    x = 560,047.17/885.35
  6. Step 6: Final answer
    x = 632.58

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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.