Home / 1,143.23-1,712.45-947.77

Finding the Fourth Proportional to 1,143.23, 1,712.45 and 947.77

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Solution

The fourth proportional to 1,143.23, 1,712.45 and 947.77 is: 1,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.23 : 1,712.45 = 947.77 : x
  2. Step 2: Convert to fraction form
    1,143.23/1,712.45 = 947.77/x
  3. Step 3: Cross multiply
    1,143.23x = 1,712.45 × 947.77
  4. Step 4: Simplify right side
    1,143.23x = 1,623,006.82
  5. Step 5: Solve for x
    x = 1,623,006.82/1,143.23
  6. Step 6: Final answer
    x = 1,419.66

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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.