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Finding the Fourth Proportional to 769.63, 1,151.88 and 585.99

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Solution

The fourth proportional to 769.63, 1,151.88 and 585.99 is: 877.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.63 : 1,151.88 = 585.99 : x
  2. Step 2: Convert to fraction form
    769.63/1,151.88 = 585.99/x
  3. Step 3: Cross multiply
    769.63x = 1,151.88 × 585.99
  4. Step 4: Simplify right side
    769.63x = 674,984.40
  5. Step 5: Solve for x
    x = 674,984.40/769.63
  6. Step 6: Final answer
    x = 877.03

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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.