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Finding the Fourth Proportional to 555.78, 761.41 and 535

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Solution

The fourth proportional to 555.78, 761.41 and 535 is: 732.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.78 : 761.41 = 535 : x
  2. Step 2: Convert to fraction form
    555.78/761.41 = 535/x
  3. Step 3: Cross multiply
    555.78x = 761.41 × 535
  4. Step 4: Simplify right side
    555.78x = 407,354.35
  5. Step 5: Solve for x
    x = 407,354.35/555.78
  6. Step 6: Final answer
    x = 732.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.