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Finding the Fourth Proportional to 1,605.51, 2,402.39 and 947.69

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Solution

The fourth proportional to 1,605.51, 2,402.39 and 947.69 is: 1,418.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.51 : 2,402.39 = 947.69 : x
  2. Step 2: Convert to fraction form
    1,605.51/2,402.39 = 947.69/x
  3. Step 3: Cross multiply
    1,605.51x = 2,402.39 × 947.69
  4. Step 4: Simplify right side
    1,605.51x = 2,276,720.98
  5. Step 5: Solve for x
    x = 2,276,720.98/1,605.51
  6. Step 6: Final answer
    x = 1,418.07

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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.