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Finding the Fourth Proportional to 607.14, 909 and 462.42

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Solution

The fourth proportional to 607.14, 909 and 462.42 is: 692.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.14 : 909 = 462.42 : x
  2. Step 2: Convert to fraction form
    607.14/909 = 462.42/x
  3. Step 3: Cross multiply
    607.14x = 909 × 462.42
  4. Step 4: Simplify right side
    607.14x = 420,339.78
  5. Step 5: Solve for x
    x = 420,339.78/607.14
  6. Step 6: Final answer
    x = 692.33

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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.