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Finding the Fourth Proportional to 500.37, 690.49 and 284.76

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Solution

The fourth proportional to 500.37, 690.49 and 284.76 is: 392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.37 : 690.49 = 284.76 : x
  2. Step 2: Convert to fraction form
    500.37/690.49 = 284.76/x
  3. Step 3: Cross multiply
    500.37x = 690.49 × 284.76
  4. Step 4: Simplify right side
    500.37x = 196,623.93
  5. Step 5: Solve for x
    x = 196,623.93/500.37
  6. Step 6: Final answer
    x = 392.96

Related Problems

Find fourth proportional to 250.19, 345.25 and 142.38
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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.