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Finding the Fourth Proportional to 771.67, 1,156.04 and 458.65

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Solution

The fourth proportional to 771.67, 1,156.04 and 458.65 is: 687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.67 : 1,156.04 = 458.65 : x
  2. Step 2: Convert to fraction form
    771.67/1,156.04 = 458.65/x
  3. Step 3: Cross multiply
    771.67x = 1,156.04 × 458.65
  4. Step 4: Simplify right side
    771.67x = 530,219.79
  5. Step 5: Solve for x
    x = 530,219.79/771.67
  6. Step 6: Final answer
    x = 687.11

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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.