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Finding the Fourth Proportional to 924.29, 1,386.29 and 376.48

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Solution

The fourth proportional to 924.29, 1,386.29 and 376.48 is: 564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.29 : 1,386.29 = 376.48 : x
  2. Step 2: Convert to fraction form
    924.29/1,386.29 = 376.48/x
  3. Step 3: Cross multiply
    924.29x = 1,386.29 × 376.48
  4. Step 4: Simplify right side
    924.29x = 521,910.46
  5. Step 5: Solve for x
    x = 521,910.46/924.29
  6. Step 6: Final answer
    x = 564.66

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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.