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Finding the Fourth Proportional to 705.84, 1,058.64 and 273.12

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Solution

The fourth proportional to 705.84, 1,058.64 and 273.12 is: 409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.84 : 1,058.64 = 273.12 : x
  2. Step 2: Convert to fraction form
    705.84/1,058.64 = 273.12/x
  3. Step 3: Cross multiply
    705.84x = 1,058.64 × 273.12
  4. Step 4: Simplify right side
    705.84x = 289,135.76
  5. Step 5: Solve for x
    x = 289,135.76/705.84
  6. Step 6: Final answer
    x = 409.63

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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.