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Finding the Fourth Proportional to 908.16, 1,361.70 and 420.60

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Solution

The fourth proportional to 908.16, 1,361.70 and 420.60 is: 630.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.16 : 1,361.70 = 420.60 : x
  2. Step 2: Convert to fraction form
    908.16/1,361.70 = 420.60/x
  3. Step 3: Cross multiply
    908.16x = 1,361.70 × 420.60
  4. Step 4: Simplify right side
    908.16x = 572,731.02
  5. Step 5: Solve for x
    x = 572,731.02/908.16
  6. Step 6: Final answer
    x = 630.65

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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.