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Finding the Fourth Proportional to 500.76, 690.94 and 301.60

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Solution

The fourth proportional to 500.76, 690.94 and 301.60 is: 416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.76 : 690.94 = 301.60 : x
  2. Step 2: Convert to fraction form
    500.76/690.94 = 301.60/x
  3. Step 3: Cross multiply
    500.76x = 690.94 × 301.60
  4. Step 4: Simplify right side
    500.76x = 208,387.50
  5. Step 5: Solve for x
    x = 208,387.50/500.76
  6. Step 6: Final answer
    x = 416.14

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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.