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Finding the Fourth Proportional to 692.46, 956.94 and 619.56

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Solution

The fourth proportional to 692.46, 956.94 and 619.56 is: 856.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.46 : 956.94 = 619.56 : x
  2. Step 2: Convert to fraction form
    692.46/956.94 = 619.56/x
  3. Step 3: Cross multiply
    692.46x = 956.94 × 619.56
  4. Step 4: Simplify right side
    692.46x = 592,881.75
  5. Step 5: Solve for x
    x = 592,881.75/692.46
  6. Step 6: Final answer
    x = 856.20

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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.