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Finding the Fourth Proportional to 555.47, 766.55 and 319.46

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Solution

The fourth proportional to 555.47, 766.55 and 319.46 is: 440.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.47 : 766.55 = 319.46 : x
  2. Step 2: Convert to fraction form
    555.47/766.55 = 319.46/x
  3. Step 3: Cross multiply
    555.47x = 766.55 × 319.46
  4. Step 4: Simplify right side
    555.47x = 244,880.47
  5. Step 5: Solve for x
    x = 244,880.47/555.47
  6. Step 6: Final answer
    x = 440.85

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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.