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Finding the Fourth Proportional to 901.82, 1,243.68 and 569.66

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Solution

The fourth proportional to 901.82, 1,243.68 and 569.66 is: 785.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.82 : 1,243.68 = 569.66 : x
  2. Step 2: Convert to fraction form
    901.82/1,243.68 = 569.66/x
  3. Step 3: Cross multiply
    901.82x = 1,243.68 × 569.66
  4. Step 4: Simplify right side
    901.82x = 708,477.86
  5. Step 5: Solve for x
    x = 708,477.86/901.82
  6. Step 6: Final answer
    x = 785.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.