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Finding the Fourth Proportional to 556.54, 767.88 and 359.81

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Solution

The fourth proportional to 556.54, 767.88 and 359.81 is: 496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.54 : 767.88 = 359.81 : x
  2. Step 2: Convert to fraction form
    556.54/767.88 = 359.81/x
  3. Step 3: Cross multiply
    556.54x = 767.88 × 359.81
  4. Step 4: Simplify right side
    556.54x = 276,294.17
  5. Step 5: Solve for x
    x = 276,294.17/556.54
  6. Step 6: Final answer
    x = 496.45

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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.