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Finding the Fourth Proportional to 504.20, 756.89 and 287.93

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Solution

The fourth proportional to 504.20, 756.89 and 287.93 is: 432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.20 : 756.89 = 287.93 : x
  2. Step 2: Convert to fraction form
    504.20/756.89 = 287.93/x
  3. Step 3: Cross multiply
    504.20x = 756.89 × 287.93
  4. Step 4: Simplify right side
    504.20x = 217,926.11
  5. Step 5: Solve for x
    x = 217,926.11/504.20
  6. Step 6: Final answer
    x = 432.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.