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Finding the Fourth Proportional to 509.88, 765.63 and 424.02

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Solution

The fourth proportional to 509.88, 765.63 and 424.02 is: 636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.88 : 765.63 = 424.02 : x
  2. Step 2: Convert to fraction form
    509.88/765.63 = 424.02/x
  3. Step 3: Cross multiply
    509.88x = 765.63 × 424.02
  4. Step 4: Simplify right side
    509.88x = 324,642.43
  5. Step 5: Solve for x
    x = 324,642.43/509.88
  6. Step 6: Final answer
    x = 636.70

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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.