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Finding the Fourth Proportional to 692.91, 956.25 and 431.01

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Solution

The fourth proportional to 692.91, 956.25 and 431.01 is: 594.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.91 : 956.25 = 431.01 : x
  2. Step 2: Convert to fraction form
    692.91/956.25 = 431.01/x
  3. Step 3: Cross multiply
    692.91x = 956.25 × 431.01
  4. Step 4: Simplify right side
    692.91x = 412,153.31
  5. Step 5: Solve for x
    x = 412,153.31/692.91
  6. Step 6: Final answer
    x = 594.82

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1.5x scale

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.