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Finding the Fourth Proportional to 999.13, 1,378.78 and 557.06

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Solution

The fourth proportional to 999.13, 1,378.78 and 557.06 is: 768.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.13 : 1,378.78 = 557.06 : x
  2. Step 2: Convert to fraction form
    999.13/1,378.78 = 557.06/x
  3. Step 3: Cross multiply
    999.13x = 1,378.78 × 557.06
  4. Step 4: Simplify right side
    999.13x = 768,053.51
  5. Step 5: Solve for x
    x = 768,053.51/999.13
  6. Step 6: Final answer
    x = 768.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.