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Finding the Fourth Proportional to 500.74, 690.74 and 334.76

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Solution

The fourth proportional to 500.74, 690.74 and 334.76 is: 461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.74 : 690.74 = 334.76 : x
  2. Step 2: Convert to fraction form
    500.74/690.74 = 334.76/x
  3. Step 3: Cross multiply
    500.74x = 690.74 × 334.76
  4. Step 4: Simplify right side
    500.74x = 231,232.12
  5. Step 5: Solve for x
    x = 231,232.12/500.74
  6. Step 6: Final answer
    x = 461.78

Related Problems

Find fourth proportional to 250.37, 345.37 and 167.38
Half scale
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Double scale
Find fourth proportional to 501.74, 692.12 and 335.76
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.