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Finding the Fourth Proportional to 869.11, 1,303.54 and 284.17

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Solution

The fourth proportional to 869.11, 1,303.54 and 284.17 is: 426.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.11 : 1,303.54 = 284.17 : x
  2. Step 2: Convert to fraction form
    869.11/1,303.54 = 284.17/x
  3. Step 3: Cross multiply
    869.11x = 1,303.54 × 284.17
  4. Step 4: Simplify right side
    869.11x = 370,426.96
  5. Step 5: Solve for x
    x = 370,426.96/869.11
  6. Step 6: Final answer
    x = 426.21

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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.