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Finding the Fourth Proportional to 555.98, 767.54 and 369.78

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Solution

The fourth proportional to 555.98, 767.54 and 369.78 is: 510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.98 : 767.54 = 369.78 : x
  2. Step 2: Convert to fraction form
    555.98/767.54 = 369.78/x
  3. Step 3: Cross multiply
    555.98x = 767.54 × 369.78
  4. Step 4: Simplify right side
    555.98x = 283,819.09
  5. Step 5: Solve for x
    x = 283,819.09/555.98
  6. Step 6: Final answer
    x = 510.49

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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.