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Finding the Fourth Proportional to 692.42, 955.93 and 471.70

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Solution

The fourth proportional to 692.42, 955.93 and 471.70 is: 651.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.42 : 955.93 = 471.70 : x
  2. Step 2: Convert to fraction form
    692.42/955.93 = 471.70/x
  3. Step 3: Cross multiply
    692.42x = 955.93 × 471.70
  4. Step 4: Simplify right side
    692.42x = 450,908.61
  5. Step 5: Solve for x
    x = 450,908.61/692.42
  6. Step 6: Final answer
    x = 651.20

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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.