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Finding the Fourth Proportional to 692.42, 956.26 and 598.71

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Solution

The fourth proportional to 692.42, 956.26 and 598.71 is: 826.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.42 : 956.26 = 598.71 : x
  2. Step 2: Convert to fraction form
    692.42/956.26 = 598.71/x
  3. Step 3: Cross multiply
    692.42x = 956.26 × 598.71
  4. Step 4: Simplify right side
    692.42x = 572,518.01
  5. Step 5: Solve for x
    x = 572,518.01/692.42
  6. Step 6: Final answer
    x = 826.84

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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.