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Finding the Fourth Proportional to 522, 784.16 and 339.68

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Solution

The fourth proportional to 522, 784.16 and 339.68 is: 510.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    522 : 784.16 = 339.68 : x
  2. Step 2: Convert to fraction form
    522/784.16 = 339.68/x
  3. Step 3: Cross multiply
    522x = 784.16 × 339.68
  4. Step 4: Simplify right side
    522x = 266,363.47
  5. Step 5: Solve for x
    x = 266,363.47/522
  6. Step 6: Final answer
    x = 510.27

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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.