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Finding the Fourth Proportional to 500.59, 690.81 and 304.06

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Solution

The fourth proportional to 500.59, 690.81 and 304.06 is: 419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.59 : 690.81 = 304.06 : x
  2. Step 2: Convert to fraction form
    500.59/690.81 = 304.06/x
  3. Step 3: Cross multiply
    500.59x = 690.81 × 304.06
  4. Step 4: Simplify right side
    500.59x = 210,047.69
  5. Step 5: Solve for x
    x = 210,047.69/500.59
  6. Step 6: Final answer
    x = 419.60

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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.