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Finding the Fourth Proportional to 806.78, 1,112.58 and 526.91

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Solution

The fourth proportional to 806.78, 1,112.58 and 526.91 is: 726.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.78 : 1,112.58 = 526.91 : x
  2. Step 2: Convert to fraction form
    806.78/1,112.58 = 526.91/x
  3. Step 3: Cross multiply
    806.78x = 1,112.58 × 526.91
  4. Step 4: Simplify right side
    806.78x = 586,223.96
  5. Step 5: Solve for x
    x = 586,223.96/806.78
  6. Step 6: Final answer
    x = 726.63

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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.