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Finding the Fourth Proportional to 526.37, 726.25 and 505.61

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Solution

The fourth proportional to 526.37, 726.25 and 505.61 is: 697.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.37 : 726.25 = 505.61 : x
  2. Step 2: Convert to fraction form
    526.37/726.25 = 505.61/x
  3. Step 3: Cross multiply
    526.37x = 726.25 × 505.61
  4. Step 4: Simplify right side
    526.37x = 367,199.26
  5. Step 5: Solve for x
    x = 367,199.26/526.37
  6. Step 6: Final answer
    x = 697.61

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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.