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Finding the Fourth Proportional to 867.15, 1,299.76 and 405.05

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Solution

The fourth proportional to 867.15, 1,299.76 and 405.05 is: 607.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.15 : 1,299.76 = 405.05 : x
  2. Step 2: Convert to fraction form
    867.15/1,299.76 = 405.05/x
  3. Step 3: Cross multiply
    867.15x = 1,299.76 × 405.05
  4. Step 4: Simplify right side
    867.15x = 526,460.28
  5. Step 5: Solve for x
    x = 526,460.28/867.15
  6. Step 6: Final answer
    x = 607.12

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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.