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Finding the Fourth Proportional to 692.65, 956.00 and 398.01

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Solution

The fourth proportional to 692.65, 956.00 and 398.01 is: 549.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.65 : 956.00 = 398.01 : x
  2. Step 2: Convert to fraction form
    692.65/956.00 = 398.01/x
  3. Step 3: Cross multiply
    692.65x = 956.00 × 398.01
  4. Step 4: Simplify right side
    692.65x = 380,502.14
  5. Step 5: Solve for x
    x = 380,502.14/692.65
  6. Step 6: Final answer
    x = 549.34

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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.