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Finding the Fourth Proportional to 694.76, 956.58 and 564.20

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Solution

The fourth proportional to 694.76, 956.58 and 564.20 is: 776.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.76 : 956.58 = 564.20 : x
  2. Step 2: Convert to fraction form
    694.76/956.58 = 564.20/x
  3. Step 3: Cross multiply
    694.76x = 956.58 × 564.20
  4. Step 4: Simplify right side
    694.76x = 539,702.44
  5. Step 5: Solve for x
    x = 539,702.44/694.76
  6. Step 6: Final answer
    x = 776.82

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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.