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Finding the Fourth Proportional to 555.70, 766.73 and 398.30

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Solution

The fourth proportional to 555.70, 766.73 and 398.30 is: 549.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.70 : 766.73 = 398.30 : x
  2. Step 2: Convert to fraction form
    555.70/766.73 = 398.30/x
  3. Step 3: Cross multiply
    555.70x = 766.73 × 398.30
  4. Step 4: Simplify right side
    555.70x = 305,386.57
  5. Step 5: Solve for x
    x = 305,386.57/555.70
  6. Step 6: Final answer
    x = 549.55

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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.