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Finding the Fourth Proportional to 771.04, 1,156.32 and 462.88

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Solution

The fourth proportional to 771.04, 1,156.32 and 462.88 is: 694.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.04 : 1,156.32 = 462.88 : x
  2. Step 2: Convert to fraction form
    771.04/1,156.32 = 462.88/x
  3. Step 3: Cross multiply
    771.04x = 1,156.32 × 462.88
  4. Step 4: Simplify right side
    771.04x = 535,237.40
  5. Step 5: Solve for x
    x = 535,237.40/771.04
  6. Step 6: Final answer
    x = 694.18

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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.