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Finding the Fourth Proportional to 849.18, 1,172.55 and 783.66

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Solution

The fourth proportional to 849.18, 1,172.55 and 783.66 is: 1,082.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.18 : 1,172.55 = 783.66 : x
  2. Step 2: Convert to fraction form
    849.18/1,172.55 = 783.66/x
  3. Step 3: Cross multiply
    849.18x = 1,172.55 × 783.66
  4. Step 4: Simplify right side
    849.18x = 918,880.53
  5. Step 5: Solve for x
    x = 918,880.53/849.18
  6. Step 6: Final answer
    x = 1,082.08

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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.