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Finding the Fourth Proportional to 557.19, 767.07 and 472.77

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Solution

The fourth proportional to 557.19, 767.07 and 472.77 is: 650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.19 : 767.07 = 472.77 : x
  2. Step 2: Convert to fraction form
    557.19/767.07 = 472.77/x
  3. Step 3: Cross multiply
    557.19x = 767.07 × 472.77
  4. Step 4: Simplify right side
    557.19x = 362,647.68
  5. Step 5: Solve for x
    x = 362,647.68/557.19
  6. Step 6: Final answer
    x = 650.85

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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.