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Finding the Fourth Proportional to 907.39, 1,361.61 and 420.42

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Solution

The fourth proportional to 907.39, 1,361.61 and 420.42 is: 630.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.39 : 1,361.61 = 420.42 : x
  2. Step 2: Convert to fraction form
    907.39/1,361.61 = 420.42/x
  3. Step 3: Cross multiply
    907.39x = 1,361.61 × 420.42
  4. Step 4: Simplify right side
    907.39x = 572,441.27
  5. Step 5: Solve for x
    x = 572,441.27/907.39
  6. Step 6: Final answer
    x = 630.87

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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.