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Finding the Fourth Proportional to 555.75, 766.85 and 319.70

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Solution

The fourth proportional to 555.75, 766.85 and 319.70 is: 441.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.75 : 766.85 = 319.70 : x
  2. Step 2: Convert to fraction form
    555.75/766.85 = 319.70/x
  3. Step 3: Cross multiply
    555.75x = 766.85 × 319.70
  4. Step 4: Simplify right side
    555.75x = 245,156.51
  5. Step 5: Solve for x
    x = 245,156.51/555.75
  6. Step 6: Final answer
    x = 441.13

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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.