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Finding the Fourth Proportional to 679.85, 935.15 and 567.75

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Solution

The fourth proportional to 679.85, 935.15 and 567.75 is: 780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.85 : 935.15 = 567.75 : x
  2. Step 2: Convert to fraction form
    679.85/935.15 = 567.75/x
  3. Step 3: Cross multiply
    679.85x = 935.15 × 567.75
  4. Step 4: Simplify right side
    679.85x = 530,931.41
  5. Step 5: Solve for x
    x = 530,931.41/679.85
  6. Step 6: Final answer
    x = 780.95

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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.