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Finding the Fourth Proportional to 692.81, 956.90 and 471.39

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Solution

The fourth proportional to 692.81, 956.90 and 471.39 is: 651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.81 : 956.90 = 471.39 : x
  2. Step 2: Convert to fraction form
    692.81/956.90 = 471.39/x
  3. Step 3: Cross multiply
    692.81x = 956.90 × 471.39
  4. Step 4: Simplify right side
    692.81x = 451,074.27
  5. Step 5: Solve for x
    x = 451,074.27/692.81
  6. Step 6: Final answer
    x = 651.08

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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.