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Finding the Fourth Proportional to 867.01, 1,298.80 and 404.15

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Solution

The fourth proportional to 867.01, 1,298.80 and 404.15 is: 605.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.01 : 1,298.80 = 404.15 : x
  2. Step 2: Convert to fraction form
    867.01/1,298.80 = 404.15/x
  3. Step 3: Cross multiply
    867.01x = 1,298.80 × 404.15
  4. Step 4: Simplify right side
    867.01x = 524,910.02
  5. Step 5: Solve for x
    x = 524,910.02/867.01
  6. Step 6: Final answer
    x = 605.43

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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.