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Finding the Fourth Proportional to 704.57, 970.04 and 564.17

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Solution

The fourth proportional to 704.57, 970.04 and 564.17 is: 776.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.57 : 970.04 = 564.17 : x
  2. Step 2: Convert to fraction form
    704.57/970.04 = 564.17/x
  3. Step 3: Cross multiply
    704.57x = 970.04 × 564.17
  4. Step 4: Simplify right side
    704.57x = 547,264.03
  5. Step 5: Solve for x
    x = 547,264.03/704.57
  6. Step 6: Final answer
    x = 776.74

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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.