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Finding the Fourth Proportional to 526.75, 726.95 and 293.89

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Solution

The fourth proportional to 526.75, 726.95 and 293.89 is: 405.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.75 : 726.95 = 293.89 : x
  2. Step 2: Convert to fraction form
    526.75/726.95 = 293.89/x
  3. Step 3: Cross multiply
    526.75x = 726.95 × 293.89
  4. Step 4: Simplify right side
    526.75x = 213,643.34
  5. Step 5: Solve for x
    x = 213,643.34/526.75
  6. Step 6: Final answer
    x = 405.59

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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.