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Finding the Fourth Proportional to 571.66, 786.71 and 547.05

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Solution

The fourth proportional to 571.66, 786.71 and 547.05 is: 752.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.66 : 786.71 = 547.05 : x
  2. Step 2: Convert to fraction form
    571.66/786.71 = 547.05/x
  3. Step 3: Cross multiply
    571.66x = 786.71 × 547.05
  4. Step 4: Simplify right side
    571.66x = 430,374.02
  5. Step 5: Solve for x
    x = 430,374.02/571.66
  6. Step 6: Final answer
    x = 752.85

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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.