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Finding the Fourth Proportional to 943.84, 1,415.82 and 294.76

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Solution

The fourth proportional to 943.84, 1,415.82 and 294.76 is: 442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.84 : 1,415.82 = 294.76 : x
  2. Step 2: Convert to fraction form
    943.84/1,415.82 = 294.76/x
  3. Step 3: Cross multiply
    943.84x = 1,415.82 × 294.76
  4. Step 4: Simplify right side
    943.84x = 417,327.10
  5. Step 5: Solve for x
    x = 417,327.10/943.84
  6. Step 6: Final answer
    x = 442.16

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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.