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Finding the Fourth Proportional to 705.36, 1,053.97 and 487.20

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Solution

The fourth proportional to 705.36, 1,053.97 and 487.20 is: 727.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.36 : 1,053.97 = 487.20 : x
  2. Step 2: Convert to fraction form
    705.36/1,053.97 = 487.20/x
  3. Step 3: Cross multiply
    705.36x = 1,053.97 × 487.20
  4. Step 4: Simplify right side
    705.36x = 513,494.18
  5. Step 5: Solve for x
    x = 513,494.18/705.36
  6. Step 6: Final answer
    x = 727.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.