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Finding the Fourth Proportional to 886.48, 1,328.54 and 474.73

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Solution

The fourth proportional to 886.48, 1,328.54 and 474.73 is: 711.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.48 : 1,328.54 = 474.73 : x
  2. Step 2: Convert to fraction form
    886.48/1,328.54 = 474.73/x
  3. Step 3: Cross multiply
    886.48x = 1,328.54 × 474.73
  4. Step 4: Simplify right side
    886.48x = 630,692.10
  5. Step 5: Solve for x
    x = 630,692.10/886.48
  6. Step 6: Final answer
    x = 711.46

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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.