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Finding the Fourth Proportional to 501.66, 692.19 and 336.12

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Solution

The fourth proportional to 501.66, 692.19 and 336.12 is: 463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.66 : 692.19 = 336.12 : x
  2. Step 2: Convert to fraction form
    501.66/692.19 = 336.12/x
  3. Step 3: Cross multiply
    501.66x = 692.19 × 336.12
  4. Step 4: Simplify right side
    501.66x = 232,658.90
  5. Step 5: Solve for x
    x = 232,658.90/501.66
  6. Step 6: Final answer
    x = 463.78

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Double scale
Find fourth proportional to 502.66, 693.57 and 337.12
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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.