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Finding the Fourth Proportional to 1,209.42, 1,802.03 and 1,156.32

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Solution

The fourth proportional to 1,209.42, 1,802.03 and 1,156.32 is: 1,722.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.42 : 1,802.03 = 1,156.32 : x
  2. Step 2: Convert to fraction form
    1,209.42/1,802.03 = 1,156.32/x
  3. Step 3: Cross multiply
    1,209.42x = 1,802.03 × 1,156.32
  4. Step 4: Simplify right side
    1,209.42x = 2,083,717.55
  5. Step 5: Solve for x
    x = 2,083,717.55/1,209.42
  6. Step 6: Final answer
    x = 1,722.91

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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.