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Finding the Fourth Proportional to 522.16, 782.80 and 233.52

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Solution

The fourth proportional to 522.16, 782.80 and 233.52 is: 350.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.16 : 782.80 = 233.52 : x
  2. Step 2: Convert to fraction form
    522.16/782.80 = 233.52/x
  3. Step 3: Cross multiply
    522.16x = 782.80 × 233.52
  4. Step 4: Simplify right side
    522.16x = 182,799.46
  5. Step 5: Solve for x
    x = 182,799.46/522.16
  6. Step 6: Final answer
    x = 350.08

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Similar ratio
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1.5x scale

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.