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Finding the Fourth Proportional to 601.78, 826.45 and 558.95

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Solution

The fourth proportional to 601.78, 826.45 and 558.95 is: 767.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.78 : 826.45 = 558.95 : x
  2. Step 2: Convert to fraction form
    601.78/826.45 = 558.95/x
  3. Step 3: Cross multiply
    601.78x = 826.45 × 558.95
  4. Step 4: Simplify right side
    601.78x = 461,946.49
  5. Step 5: Solve for x
    x = 461,946.49/601.78
  6. Step 6: Final answer
    x = 767.63

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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.