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Finding the Fourth Proportional to 713.76, 984.64 and 556.11

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Solution

The fourth proportional to 713.76, 984.64 and 556.11 is: 767.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.76 : 984.64 = 556.11 : x
  2. Step 2: Convert to fraction form
    713.76/984.64 = 556.11/x
  3. Step 3: Cross multiply
    713.76x = 984.64 × 556.11
  4. Step 4: Simplify right side
    713.76x = 547,565.37
  5. Step 5: Solve for x
    x = 547,565.37/713.76
  6. Step 6: Final answer
    x = 767.16

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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.