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Finding the Fourth Proportional to 500.65, 691.40 and 304.29

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Solution

The fourth proportional to 500.65, 691.40 and 304.29 is: 420.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.65 : 691.40 = 304.29 : x
  2. Step 2: Convert to fraction form
    500.65/691.40 = 304.29/x
  3. Step 3: Cross multiply
    500.65x = 691.40 × 304.29
  4. Step 4: Simplify right side
    500.65x = 210,386.87
  5. Step 5: Solve for x
    x = 210,386.87/500.65
  6. Step 6: Final answer
    x = 420.23

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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.