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Finding the Fourth Proportional to 692.41, 956.21 and 456.51

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Solution

The fourth proportional to 692.41, 956.21 and 456.51 is: 630.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.41 : 956.21 = 456.51 : x
  2. Step 2: Convert to fraction form
    692.41/956.21 = 456.51/x
  3. Step 3: Cross multiply
    692.41x = 956.21 × 456.51
  4. Step 4: Simplify right side
    692.41x = 436,519.43
  5. Step 5: Solve for x
    x = 436,519.43/692.41
  6. Step 6: Final answer
    x = 630.43

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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.