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Finding the Fourth Proportional to 692.21, 952.40 and 598.65

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Solution

The fourth proportional to 692.21, 952.40 and 598.65 is: 823.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.21 : 952.40 = 598.65 : x
  2. Step 2: Convert to fraction form
    692.21/952.40 = 598.65/x
  3. Step 3: Cross multiply
    692.21x = 952.40 × 598.65
  4. Step 4: Simplify right side
    692.21x = 570,151.27
  5. Step 5: Solve for x
    x = 570,151.27/692.21
  6. Step 6: Final answer
    x = 823.67

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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.