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Finding the Fourth Proportional to 704.41, 970.93 and 564.28

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Solution

The fourth proportional to 704.41, 970.93 and 564.28 is: 777.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.41 : 970.93 = 564.28 : x
  2. Step 2: Convert to fraction form
    704.41/970.93 = 564.28/x
  3. Step 3: Cross multiply
    704.41x = 970.93 × 564.28
  4. Step 4: Simplify right side
    704.41x = 547,876.38
  5. Step 5: Solve for x
    x = 547,876.38/704.41
  6. Step 6: Final answer
    x = 777.78

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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.