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Finding the Fourth Proportional to 526.71, 726.46 and 386.79

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Solution

The fourth proportional to 526.71, 726.46 and 386.79 is: 533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.71 : 726.46 = 386.79 : x
  2. Step 2: Convert to fraction form
    526.71/726.46 = 386.79/x
  3. Step 3: Cross multiply
    526.71x = 726.46 × 386.79
  4. Step 4: Simplify right side
    526.71x = 280,987.46
  5. Step 5: Solve for x
    x = 280,987.46/526.71
  6. Step 6: Final answer
    x = 533.48

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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.