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Finding the Fourth Proportional to 522.34, 783.53 and 233.75

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Solution

The fourth proportional to 522.34, 783.53 and 233.75 is: 350.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.34 : 783.53 = 233.75 : x
  2. Step 2: Convert to fraction form
    522.34/783.53 = 233.75/x
  3. Step 3: Cross multiply
    522.34x = 783.53 × 233.75
  4. Step 4: Simplify right side
    522.34x = 183,150.14
  5. Step 5: Solve for x
    x = 183,150.14/522.34
  6. Step 6: Final answer
    x = 350.63

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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.