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Finding the Fourth Proportional to 522.67, 784.14 and 279.13

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Solution

The fourth proportional to 522.67, 784.14 and 279.13 is: 418.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.67 : 784.14 = 279.13 : x
  2. Step 2: Convert to fraction form
    522.67/784.14 = 279.13/x
  3. Step 3: Cross multiply
    522.67x = 784.14 × 279.13
  4. Step 4: Simplify right side
    522.67x = 218,877.00
  5. Step 5: Solve for x
    x = 218,877.00/522.67
  6. Step 6: Final answer
    x = 418.77

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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.