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Finding the Fourth Proportional to 523.29, 784.47 and 407.10

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Solution

The fourth proportional to 523.29, 784.47 and 407.10 is: 610.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.29 : 784.47 = 407.10 : x
  2. Step 2: Convert to fraction form
    523.29/784.47 = 407.10/x
  3. Step 3: Cross multiply
    523.29x = 784.47 × 407.10
  4. Step 4: Simplify right side
    523.29x = 319,359.92
  5. Step 5: Solve for x
    x = 319,359.92/523.29
  6. Step 6: Final answer
    x = 610.29

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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.