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Finding the Fourth Proportional to 555.48, 768.15 and 506.52

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Solution

The fourth proportional to 555.48, 768.15 and 506.52 is: 700.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.48 : 768.15 = 506.52 : x
  2. Step 2: Convert to fraction form
    555.48/768.15 = 506.52/x
  3. Step 3: Cross multiply
    555.48x = 768.15 × 506.52
  4. Step 4: Simplify right side
    555.48x = 389,083.34
  5. Step 5: Solve for x
    x = 389,083.34/555.48
  6. Step 6: Final answer
    x = 700.45

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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.