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Finding the Fourth Proportional to 849.83, 1,172.63 and 500.59

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Solution

The fourth proportional to 849.83, 1,172.63 and 500.59 is: 690.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.83 : 1,172.63 = 500.59 : x
  2. Step 2: Convert to fraction form
    849.83/1,172.63 = 500.59/x
  3. Step 3: Cross multiply
    849.83x = 1,172.63 × 500.59
  4. Step 4: Simplify right side
    849.83x = 586,998.49
  5. Step 5: Solve for x
    x = 586,998.49/849.83
  6. Step 6: Final answer
    x = 690.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.