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Finding the Fourth Proportional to 522.90, 784.37 and 462.78

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Solution

The fourth proportional to 522.90, 784.37 and 462.78 is: 694.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.90 : 784.37 = 462.78 : x
  2. Step 2: Convert to fraction form
    522.90/784.37 = 462.78/x
  3. Step 3: Cross multiply
    522.90x = 784.37 × 462.78
  4. Step 4: Simplify right side
    522.90x = 362,988.43
  5. Step 5: Solve for x
    x = 362,988.43/522.90
  6. Step 6: Final answer
    x = 694.18

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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.