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Finding the Fourth Proportional to 924.67, 1,386.87 and 404.56

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Solution

The fourth proportional to 924.67, 1,386.87 and 404.56 is: 606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.67 : 1,386.87 = 404.56 : x
  2. Step 2: Convert to fraction form
    924.67/1,386.87 = 404.56/x
  3. Step 3: Cross multiply
    924.67x = 1,386.87 × 404.56
  4. Step 4: Simplify right side
    924.67x = 561,072.13
  5. Step 5: Solve for x
    x = 561,072.13/924.67
  6. Step 6: Final answer
    x = 606.78

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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.