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Finding the Fourth Proportional to 526.83, 726.74 and 402.27

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Solution

The fourth proportional to 526.83, 726.74 and 402.27 is: 554.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.83 : 726.74 = 402.27 : x
  2. Step 2: Convert to fraction form
    526.83/726.74 = 402.27/x
  3. Step 3: Cross multiply
    526.83x = 726.74 × 402.27
  4. Step 4: Simplify right side
    526.83x = 292,345.70
  5. Step 5: Solve for x
    x = 292,345.70/526.83
  6. Step 6: Final answer
    x = 554.91

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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.