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Finding the Fourth Proportional to 909.78, 1,362.84 and 632.46

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Solution

The fourth proportional to 909.78, 1,362.84 and 632.46 is: 947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.78 : 1,362.84 = 632.46 : x
  2. Step 2: Convert to fraction form
    909.78/1,362.84 = 632.46/x
  3. Step 3: Cross multiply
    909.78x = 1,362.84 × 632.46
  4. Step 4: Simplify right side
    909.78x = 861,941.79
  5. Step 5: Solve for x
    x = 861,941.79/909.78
  6. Step 6: Final answer
    x = 947.42

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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.