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Finding the Fourth Proportional to 1,133.66, 1,689.92 and 1,072.10

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Solution

The fourth proportional to 1,133.66, 1,689.92 and 1,072.10 is: 1,598.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.66 : 1,689.92 = 1,072.10 : x
  2. Step 2: Convert to fraction form
    1,133.66/1,689.92 = 1,072.10/x
  3. Step 3: Cross multiply
    1,133.66x = 1,689.92 × 1,072.10
  4. Step 4: Simplify right side
    1,133.66x = 1,811,749.42
  5. Step 5: Solve for x
    x = 1,811,749.42/1,133.66
  6. Step 6: Final answer
    x = 1,598.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.