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Finding the Fourth Proportional to 581.64, 801.99 and 395.25

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Solution

The fourth proportional to 581.64, 801.99 and 395.25 is: 544.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.64 : 801.99 = 395.25 : x
  2. Step 2: Convert to fraction form
    581.64/801.99 = 395.25/x
  3. Step 3: Cross multiply
    581.64x = 801.99 × 395.25
  4. Step 4: Simplify right side
    581.64x = 316,986.55
  5. Step 5: Solve for x
    x = 316,986.55/581.64
  6. Step 6: Final answer
    x = 544.99

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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.