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Finding the Fourth Proportional to 555.08, 766.39 and 345.34

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Solution

The fourth proportional to 555.08, 766.39 and 345.34 is: 476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.08 : 766.39 = 345.34 : x
  2. Step 2: Convert to fraction form
    555.08/766.39 = 345.34/x
  3. Step 3: Cross multiply
    555.08x = 766.39 × 345.34
  4. Step 4: Simplify right side
    555.08x = 264,661.29
  5. Step 5: Solve for x
    x = 264,661.29/555.08
  6. Step 6: Final answer
    x = 476.80

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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.