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Finding the Fourth Proportional to 692.18, 956.57 and 567.64

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Solution

The fourth proportional to 692.18, 956.57 and 567.64 is: 784.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.18 : 956.57 = 567.64 : x
  2. Step 2: Convert to fraction form
    692.18/956.57 = 567.64/x
  3. Step 3: Cross multiply
    692.18x = 956.57 × 567.64
  4. Step 4: Simplify right side
    692.18x = 542,987.39
  5. Step 5: Solve for x
    x = 542,987.39/692.18
  6. Step 6: Final answer
    x = 784.46

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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.