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Finding the Fourth Proportional to 523.69, 785.53 and 426.07

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Solution

The fourth proportional to 523.69, 785.53 and 426.07 is: 639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.69 : 785.53 = 426.07 : x
  2. Step 2: Convert to fraction form
    523.69/785.53 = 426.07/x
  3. Step 3: Cross multiply
    523.69x = 785.53 × 426.07
  4. Step 4: Simplify right side
    523.69x = 334,690.77
  5. Step 5: Solve for x
    x = 334,690.77/523.69
  6. Step 6: Final answer
    x = 639.10

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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.