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Finding the Fourth Proportional to 776.53, 1,166.01 and 452.13

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Solution

The fourth proportional to 776.53, 1,166.01 and 452.13 is: 678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.53 : 1,166.01 = 452.13 : x
  2. Step 2: Convert to fraction form
    776.53/1,166.01 = 452.13/x
  3. Step 3: Cross multiply
    776.53x = 1,166.01 × 452.13
  4. Step 4: Simplify right side
    776.53x = 527,188.10
  5. Step 5: Solve for x
    x = 527,188.10/776.53
  6. Step 6: Final answer
    x = 678.90

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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.