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Finding the Fourth Proportional to 526.67, 726.95 and 330.17

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Solution

The fourth proportional to 526.67, 726.95 and 330.17 is: 455.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.67 : 726.95 = 330.17 : x
  2. Step 2: Convert to fraction form
    526.67/726.95 = 330.17/x
  3. Step 3: Cross multiply
    526.67x = 726.95 × 330.17
  4. Step 4: Simplify right side
    526.67x = 240,011.80
  5. Step 5: Solve for x
    x = 240,011.80/526.67
  6. Step 6: Final answer
    x = 455.72

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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.