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Finding the Fourth Proportional to 774.14, 1,161.09 and 502.16

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Solution

The fourth proportional to 774.14, 1,161.09 and 502.16 is: 753.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.14 : 1,161.09 = 502.16 : x
  2. Step 2: Convert to fraction form
    774.14/1,161.09 = 502.16/x
  3. Step 3: Cross multiply
    774.14x = 1,161.09 × 502.16
  4. Step 4: Simplify right side
    774.14x = 583,047.15
  5. Step 5: Solve for x
    x = 583,047.15/774.14
  6. Step 6: Final answer
    x = 753.16

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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.