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Finding the Fourth Proportional to 572.04, 788.91 and 505.71

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Solution

The fourth proportional to 572.04, 788.91 and 505.71 is: 697.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.04 : 788.91 = 505.71 : x
  2. Step 2: Convert to fraction form
    572.04/788.91 = 505.71/x
  3. Step 3: Cross multiply
    572.04x = 788.91 × 505.71
  4. Step 4: Simplify right side
    572.04x = 398,959.68
  5. Step 5: Solve for x
    x = 398,959.68/572.04
  6. Step 6: Final answer
    x = 697.43

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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.