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Finding the Fourth Proportional to 849.66, 1,272.96 and 571.35

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Solution

The fourth proportional to 849.66, 1,272.96 and 571.35 is: 856.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.66 : 1,272.96 = 571.35 : x
  2. Step 2: Convert to fraction form
    849.66/1,272.96 = 571.35/x
  3. Step 3: Cross multiply
    849.66x = 1,272.96 × 571.35
  4. Step 4: Simplify right side
    849.66x = 727,305.70
  5. Step 5: Solve for x
    x = 727,305.70/849.66
  6. Step 6: Final answer
    x = 856.00

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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.