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Finding the Fourth Proportional to 692.70, 956.10 and 430.62

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Solution

The fourth proportional to 692.70, 956.10 and 430.62 is: 594.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.70 : 956.10 = 430.62 : x
  2. Step 2: Convert to fraction form
    692.70/956.10 = 430.62/x
  3. Step 3: Cross multiply
    692.70x = 956.10 × 430.62
  4. Step 4: Simplify right side
    692.70x = 411,715.78
  5. Step 5: Solve for x
    x = 411,715.78/692.70
  6. Step 6: Final answer
    x = 594.36

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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.