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Finding the Fourth Proportional to 522.89, 788.27 and 487.66

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Solution

The fourth proportional to 522.89, 788.27 and 487.66 is: 735.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.89 : 788.27 = 487.66 : x
  2. Step 2: Convert to fraction form
    522.89/788.27 = 487.66/x
  3. Step 3: Cross multiply
    522.89x = 788.27 × 487.66
  4. Step 4: Simplify right side
    522.89x = 384,407.75
  5. Step 5: Solve for x
    x = 384,407.75/522.89
  6. Step 6: Final answer
    x = 735.16

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1.5x scale

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.