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Finding the Fourth Proportional to 522.20, 784.20 and 340.40

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Solution

The fourth proportional to 522.20, 784.20 and 340.40 is: 511.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.20 : 784.20 = 340.40 : x
  2. Step 2: Convert to fraction form
    522.20/784.20 = 340.40/x
  3. Step 3: Cross multiply
    522.20x = 784.20 × 340.40
  4. Step 4: Simplify right side
    522.20x = 266,941.68
  5. Step 5: Solve for x
    x = 266,941.68/522.20
  6. Step 6: Final answer
    x = 511.19

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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.