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Finding the Fourth Proportional to 500.58, 691.02 and 301.50

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Solution

The fourth proportional to 500.58, 691.02 and 301.50 is: 416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.58 : 691.02 = 301.50 : x
  2. Step 2: Convert to fraction form
    500.58/691.02 = 301.50/x
  3. Step 3: Cross multiply
    500.58x = 691.02 × 301.50
  4. Step 4: Simplify right side
    500.58x = 208,342.53
  5. Step 5: Solve for x
    x = 208,342.53/500.58
  6. Step 6: Final answer
    x = 416.20

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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.