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Finding the Fourth Proportional to 522.96, 788.46 and 487.71

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Solution

The fourth proportional to 522.96, 788.46 and 487.71 is: 735.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.96 : 788.46 = 487.71 : x
  2. Step 2: Convert to fraction form
    522.96/788.46 = 487.71/x
  3. Step 3: Cross multiply
    522.96x = 788.46 × 487.71
  4. Step 4: Simplify right side
    522.96x = 384,539.83
  5. Step 5: Solve for x
    x = 384,539.83/522.96
  6. Step 6: Final answer
    x = 735.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.