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Finding the Fourth Proportional to 526.45, 726.38 and 330.00

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Solution

The fourth proportional to 526.45, 726.38 and 330.00 is: 455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.45 : 726.38 = 330.00 : x
  2. Step 2: Convert to fraction form
    526.45/726.38 = 330.00/x
  3. Step 3: Cross multiply
    526.45x = 726.38 × 330.00
  4. Step 4: Simplify right side
    526.45x = 239,704.77
  5. Step 5: Solve for x
    x = 239,704.77/526.45
  6. Step 6: Final answer
    x = 455.32

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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.