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Finding the Fourth Proportional to 817.69, 1,225.37 and 471.11

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Solution

The fourth proportional to 817.69, 1,225.37 and 471.11 is: 705.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.69 : 1,225.37 = 471.11 : x
  2. Step 2: Convert to fraction form
    817.69/1,225.37 = 471.11/x
  3. Step 3: Cross multiply
    817.69x = 1,225.37 × 471.11
  4. Step 4: Simplify right side
    817.69x = 577,284.06
  5. Step 5: Solve for x
    x = 577,284.06/817.69
  6. Step 6: Final answer
    x = 705.99

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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.