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Finding the Fourth Proportional to 521.04, 781.59 and 444.54

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Solution

The fourth proportional to 521.04, 781.59 and 444.54 is: 666.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.04 : 781.59 = 444.54 : x
  2. Step 2: Convert to fraction form
    521.04/781.59 = 444.54/x
  3. Step 3: Cross multiply
    521.04x = 781.59 × 444.54
  4. Step 4: Simplify right side
    521.04x = 347,448.02
  5. Step 5: Solve for x
    x = 347,448.02/521.04
  6. Step 6: Final answer
    x = 666.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.