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Finding the Fourth Proportional to 556.46, 767.06 and 473.54

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Solution

The fourth proportional to 556.46, 767.06 and 473.54 is: 652.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.46 : 767.06 = 473.54 : x
  2. Step 2: Convert to fraction form
    556.46/767.06 = 473.54/x
  3. Step 3: Cross multiply
    556.46x = 767.06 × 473.54
  4. Step 4: Simplify right side
    556.46x = 363,227.39
  5. Step 5: Solve for x
    x = 363,227.39/556.46
  6. Step 6: Final answer
    x = 652.75

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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.