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Finding the Fourth Proportional to 860.48, 1,186.80 and 849.76

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Solution

The fourth proportional to 860.48, 1,186.80 and 849.76 is: 1,172.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.48 : 1,186.80 = 849.76 : x
  2. Step 2: Convert to fraction form
    860.48/1,186.80 = 849.76/x
  3. Step 3: Cross multiply
    860.48x = 1,186.80 × 849.76
  4. Step 4: Simplify right side
    860.48x = 1,008,495.17
  5. Step 5: Solve for x
    x = 1,008,495.17/860.48
  6. Step 6: Final answer
    x = 1,172.01

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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.