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Finding the Fourth Proportional to 1,802.38, 2,703.57 and 434.38

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Solution

The fourth proportional to 1,802.38, 2,703.57 and 434.38 is: 651.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.38 : 2,703.57 = 434.38 : x
  2. Step 2: Convert to fraction form
    1,802.38/2,703.57 = 434.38/x
  3. Step 3: Cross multiply
    1,802.38x = 2,703.57 × 434.38
  4. Step 4: Simplify right side
    1,802.38x = 1,174,374.56
  5. Step 5: Solve for x
    x = 1,174,374.56/1,802.38
  6. Step 6: Final answer
    x = 651.57

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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.