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Finding the Fourth Proportional to 526.19, 725.74 and 386.26

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Solution

The fourth proportional to 526.19, 725.74 and 386.26 is: 532.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.19 : 725.74 = 386.26 : x
  2. Step 2: Convert to fraction form
    526.19/725.74 = 386.26/x
  3. Step 3: Cross multiply
    526.19x = 725.74 × 386.26
  4. Step 4: Simplify right side
    526.19x = 280,321.55
  5. Step 5: Solve for x
    x = 280,321.55/526.19
  6. Step 6: Final answer
    x = 532.74

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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.