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Finding the Fourth Proportional to 714.92, 987.54 and 575.58

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Solution

The fourth proportional to 714.92, 987.54 and 575.58 is: 795.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.92 : 987.54 = 575.58 : x
  2. Step 2: Convert to fraction form
    714.92/987.54 = 575.58/x
  3. Step 3: Cross multiply
    714.92x = 987.54 × 575.58
  4. Step 4: Simplify right side
    714.92x = 568,408.27
  5. Step 5: Solve for x
    x = 568,408.27/714.92
  6. Step 6: Final answer
    x = 795.07

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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.