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Finding the Fourth Proportional to 501.38, 692.09 and 314.91

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Solution

The fourth proportional to 501.38, 692.09 and 314.91 is: 434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.38 : 692.09 = 314.91 : x
  2. Step 2: Convert to fraction form
    501.38/692.09 = 314.91/x
  3. Step 3: Cross multiply
    501.38x = 692.09 × 314.91
  4. Step 4: Simplify right side
    501.38x = 217,944.49
  5. Step 5: Solve for x
    x = 217,944.49/501.38
  6. Step 6: Final answer
    x = 434.69

Related Problems

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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.