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Finding the Fourth Proportional to 526.88, 726.95 and 302.75

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Solution

The fourth proportional to 526.88, 726.95 and 302.75 is: 417.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.88 : 726.95 = 302.75 : x
  2. Step 2: Convert to fraction form
    526.88/726.95 = 302.75/x
  3. Step 3: Cross multiply
    526.88x = 726.95 × 302.75
  4. Step 4: Simplify right side
    526.88x = 220,078.96
  5. Step 5: Solve for x
    x = 220,078.96/526.88
  6. Step 6: Final answer
    x = 417.71

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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.