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Finding the Fourth Proportional to 557.60, 769.59 and 347.90

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Solution

The fourth proportional to 557.60, 769.59 and 347.90 is: 480.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.60 : 769.59 = 347.90 : x
  2. Step 2: Convert to fraction form
    557.60/769.59 = 347.90/x
  3. Step 3: Cross multiply
    557.60x = 769.59 × 347.90
  4. Step 4: Simplify right side
    557.60x = 267,736.51
  5. Step 5: Solve for x
    x = 267,736.51/557.60
  6. Step 6: Final answer
    x = 480.16

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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.