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Finding the Fourth Proportional to 522.12, 782.96 and 233.40

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Solution

The fourth proportional to 522.12, 782.96 and 233.40 is: 350.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.12 : 782.96 = 233.40 : x
  2. Step 2: Convert to fraction form
    522.12/782.96 = 233.40/x
  3. Step 3: Cross multiply
    522.12x = 782.96 × 233.40
  4. Step 4: Simplify right side
    522.12x = 182,742.86
  5. Step 5: Solve for x
    x = 182,742.86/522.12
  6. Step 6: Final answer
    x = 350.00

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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.