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Finding the Fourth Proportional to 501.69, 692.24 and 422.85

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Solution

The fourth proportional to 501.69, 692.24 and 422.85 is: 583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.69 : 692.24 = 422.85 : x
  2. Step 2: Convert to fraction form
    501.69/692.24 = 422.85/x
  3. Step 3: Cross multiply
    501.69x = 692.24 × 422.85
  4. Step 4: Simplify right side
    501.69x = 292,711.57
  5. Step 5: Solve for x
    x = 292,711.57/501.69
  6. Step 6: Final answer
    x = 583.45

Related Problems

Find fourth proportional to 250.85, 346.12 and 211.43
Half scale
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Double scale
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Similar ratio
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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.