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Finding the Fourth Proportional to 771.50, 1,156.16 and 529.58

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Solution

The fourth proportional to 771.50, 1,156.16 and 529.58 is: 793.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.50 : 1,156.16 = 529.58 : x
  2. Step 2: Convert to fraction form
    771.50/1,156.16 = 529.58/x
  3. Step 3: Cross multiply
    771.50x = 1,156.16 × 529.58
  4. Step 4: Simplify right side
    771.50x = 612,279.21
  5. Step 5: Solve for x
    x = 612,279.21/771.50
  6. Step 6: Final answer
    x = 793.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.