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Finding the Fourth Proportional to 774.75, 1,159.77 and 501.03

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Solution

The fourth proportional to 774.75, 1,159.77 and 501.03 is: 750.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.75 : 1,159.77 = 501.03 : x
  2. Step 2: Convert to fraction form
    774.75/1,159.77 = 501.03/x
  3. Step 3: Cross multiply
    774.75x = 1,159.77 × 501.03
  4. Step 4: Simplify right side
    774.75x = 581,079.56
  5. Step 5: Solve for x
    x = 581,079.56/774.75
  6. Step 6: Final answer
    x = 750.02

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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.