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Finding the Fourth Proportional to 526.25, 726.38 and 316.50

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Solution

The fourth proportional to 526.25, 726.38 and 316.50 is: 436.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.25 : 726.38 = 316.50 : x
  2. Step 2: Convert to fraction form
    526.25/726.38 = 316.50/x
  3. Step 3: Cross multiply
    526.25x = 726.38 × 316.50
  4. Step 4: Simplify right side
    526.25x = 229,894.06
  5. Step 5: Solve for x
    x = 229,894.06/526.25
  6. Step 6: Final answer
    x = 436.85

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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.