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Finding the Fourth Proportional to 556.45, 767.88 and 320.37

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Solution

The fourth proportional to 556.45, 767.88 and 320.37 is: 442.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.45 : 767.88 = 320.37 : x
  2. Step 2: Convert to fraction form
    556.45/767.88 = 320.37/x
  3. Step 3: Cross multiply
    556.45x = 767.88 × 320.37
  4. Step 4: Simplify right side
    556.45x = 246,005.72
  5. Step 5: Solve for x
    x = 246,005.72/556.45
  6. Step 6: Final answer
    x = 442.10

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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.