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Finding the Fourth Proportional to 776.53, 1,165.33 and 501.94

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Solution

The fourth proportional to 776.53, 1,165.33 and 501.94 is: 753.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.53 : 1,165.33 = 501.94 : x
  2. Step 2: Convert to fraction form
    776.53/1,165.33 = 501.94/x
  3. Step 3: Cross multiply
    776.53x = 1,165.33 × 501.94
  4. Step 4: Simplify right side
    776.53x = 584,923.45
  5. Step 5: Solve for x
    x = 584,923.45/776.53
  6. Step 6: Final answer
    x = 753.26

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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.