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Finding the Fourth Proportional to 523.08, 784.26 and 317.61

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Solution

The fourth proportional to 523.08, 784.26 and 317.61 is: 476.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.08 : 784.26 = 317.61 : x
  2. Step 2: Convert to fraction form
    523.08/784.26 = 317.61/x
  3. Step 3: Cross multiply
    523.08x = 784.26 × 317.61
  4. Step 4: Simplify right side
    523.08x = 249,088.82
  5. Step 5: Solve for x
    x = 249,088.82/523.08
  6. Step 6: Final answer
    x = 476.20

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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.