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Finding the Fourth Proportional to 575.46, 857.47 and 547.56

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Solution

The fourth proportional to 575.46, 857.47 and 547.56 is: 815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.46 : 857.47 = 547.56 : x
  2. Step 2: Convert to fraction form
    575.46/857.47 = 547.56/x
  3. Step 3: Cross multiply
    575.46x = 857.47 × 547.56
  4. Step 4: Simplify right side
    575.46x = 469,513.54
  5. Step 5: Solve for x
    x = 469,513.54/575.46
  6. Step 6: Final answer
    x = 815.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.