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Finding the Fourth Proportional to 908.12, 1,362.63 and 421.52

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Solution

The fourth proportional to 908.12, 1,362.63 and 421.52 is: 632.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.12 : 1,362.63 = 421.52 : x
  2. Step 2: Convert to fraction form
    908.12/1,362.63 = 421.52/x
  3. Step 3: Cross multiply
    908.12x = 1,362.63 × 421.52
  4. Step 4: Simplify right side
    908.12x = 574,368.98
  5. Step 5: Solve for x
    x = 574,368.98/908.12
  6. Step 6: Final answer
    x = 632.48

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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.