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Finding the Fourth Proportional to 909.20, 1,361.10 and 601.40

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Solution

The fourth proportional to 909.20, 1,361.10 and 601.40 is: 900.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.20 : 1,361.10 = 601.40 : x
  2. Step 2: Convert to fraction form
    909.20/1,361.10 = 601.40/x
  3. Step 3: Cross multiply
    909.20x = 1,361.10 × 601.40
  4. Step 4: Simplify right side
    909.20x = 818,565.54
  5. Step 5: Solve for x
    x = 818,565.54/909.20
  6. Step 6: Final answer
    x = 900.31

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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.