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Finding the Fourth Proportional to 924.99, 1,387.67 and 348.27

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Solution

The fourth proportional to 924.99, 1,387.67 and 348.27 is: 522.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.99 : 1,387.67 = 348.27 : x
  2. Step 2: Convert to fraction form
    924.99/1,387.67 = 348.27/x
  3. Step 3: Cross multiply
    924.99x = 1,387.67 × 348.27
  4. Step 4: Simplify right side
    924.99x = 483,282.09
  5. Step 5: Solve for x
    x = 483,282.09/924.99
  6. Step 6: Final answer
    x = 522.47

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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.