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Finding the Fourth Proportional to 759.37, 1,048.31 and 526.09

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Solution

The fourth proportional to 759.37, 1,048.31 and 526.09 is: 726.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.37 : 1,048.31 = 526.09 : x
  2. Step 2: Convert to fraction form
    759.37/1,048.31 = 526.09/x
  3. Step 3: Cross multiply
    759.37x = 1,048.31 × 526.09
  4. Step 4: Simplify right side
    759.37x = 551,505.41
  5. Step 5: Solve for x
    x = 551,505.41/759.37
  6. Step 6: Final answer
    x = 726.27

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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.