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Finding the Fourth Proportional to 924.14, 1,384.99 and 338.60

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Solution

The fourth proportional to 924.14, 1,384.99 and 338.60 is: 507.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.14 : 1,384.99 = 338.60 : x
  2. Step 2: Convert to fraction form
    924.14/1,384.99 = 338.60/x
  3. Step 3: Cross multiply
    924.14x = 1,384.99 × 338.60
  4. Step 4: Simplify right side
    924.14x = 468,960.23
  5. Step 5: Solve for x
    x = 468,960.23/924.14
  6. Step 6: Final answer
    x = 507.45

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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.