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Finding the Fourth Proportional to 523.52, 784.66 and 279.98

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Solution

The fourth proportional to 523.52, 784.66 and 279.98 is: 419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.52 : 784.66 = 279.98 : x
  2. Step 2: Convert to fraction form
    523.52/784.66 = 279.98/x
  3. Step 3: Cross multiply
    523.52x = 784.66 × 279.98
  4. Step 4: Simplify right side
    523.52x = 219,689.11
  5. Step 5: Solve for x
    x = 219,689.11/523.52
  6. Step 6: Final answer
    x = 419.64

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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.