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Finding the Fourth Proportional to 692.32, 955.49 and 430.38

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Solution

The fourth proportional to 692.32, 955.49 and 430.38 is: 593.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.32 : 955.49 = 430.38 : x
  2. Step 2: Convert to fraction form
    692.32/955.49 = 430.38/x
  3. Step 3: Cross multiply
    692.32x = 955.49 × 430.38
  4. Step 4: Simplify right side
    692.32x = 411,223.79
  5. Step 5: Solve for x
    x = 411,223.79/692.32
  6. Step 6: Final answer
    x = 593.98

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Half scale
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Double scale
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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.