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Finding the Fourth Proportional to 909.44, 1,362.88 and 422.24

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Solution

The fourth proportional to 909.44, 1,362.88 and 422.24 is: 632.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.44 : 1,362.88 = 422.24 : x
  2. Step 2: Convert to fraction form
    909.44/1,362.88 = 422.24/x
  3. Step 3: Cross multiply
    909.44x = 1,362.88 × 422.24
  4. Step 4: Simplify right side
    909.44x = 575,462.45
  5. Step 5: Solve for x
    x = 575,462.45/909.44
  6. Step 6: Final answer
    x = 632.77

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1.5x scale

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.