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Finding the Fourth Proportional to 557.77, 769.21 and 479.06

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Solution

The fourth proportional to 557.77, 769.21 and 479.06 is: 660.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.77 : 769.21 = 479.06 : x
  2. Step 2: Convert to fraction form
    557.77/769.21 = 479.06/x
  3. Step 3: Cross multiply
    557.77x = 769.21 × 479.06
  4. Step 4: Simplify right side
    557.77x = 368,497.74
  5. Step 5: Solve for x
    x = 368,497.74/557.77
  6. Step 6: Final answer
    x = 660.66

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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.