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Finding the Fourth Proportional to 771.56, 1,154.74 and 587.92

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Solution

The fourth proportional to 771.56, 1,154.74 and 587.92 is: 879.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.56 : 1,154.74 = 587.92 : x
  2. Step 2: Convert to fraction form
    771.56/1,154.74 = 587.92/x
  3. Step 3: Cross multiply
    771.56x = 1,154.74 × 587.92
  4. Step 4: Simplify right side
    771.56x = 678,894.74
  5. Step 5: Solve for x
    x = 678,894.74/771.56
  6. Step 6: Final answer
    x = 879.90

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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.