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Finding the Fourth Proportional to 1,802.37, 2,703.07 and 691.55

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Solution

The fourth proportional to 1,802.37, 2,703.07 and 691.55 is: 1,037.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.37 : 2,703.07 = 691.55 : x
  2. Step 2: Convert to fraction form
    1,802.37/2,703.07 = 691.55/x
  3. Step 3: Cross multiply
    1,802.37x = 2,703.07 × 691.55
  4. Step 4: Simplify right side
    1,802.37x = 1,869,308.06
  5. Step 5: Solve for x
    x = 1,869,308.06/1,802.37
  6. Step 6: Final answer
    x = 1,037.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.