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Finding the Fourth Proportional to 908.48, 1,361.36 and 420.53

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Solution

The fourth proportional to 908.48, 1,361.36 and 420.53 is: 630.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.48 : 1,361.36 = 420.53 : x
  2. Step 2: Convert to fraction form
    908.48/1,361.36 = 420.53/x
  3. Step 3: Cross multiply
    908.48x = 1,361.36 × 420.53
  4. Step 4: Simplify right side
    908.48x = 572,486.97
  5. Step 5: Solve for x
    x = 572,486.97/908.48
  6. Step 6: Final answer
    x = 630.16

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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.