Home / 1,027.98-1,541.91-614.34

Finding the Fourth Proportional to 1,027.98, 1,541.91 and 614.34

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Solution

The fourth proportional to 1,027.98, 1,541.91 and 614.34 is: 921.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.98 : 1,541.91 = 614.34 : x
  2. Step 2: Convert to fraction form
    1,027.98/1,541.91 = 614.34/x
  3. Step 3: Cross multiply
    1,027.98x = 1,541.91 × 614.34
  4. Step 4: Simplify right side
    1,027.98x = 947,256.99
  5. Step 5: Solve for x
    x = 947,256.99/1,027.98
  6. Step 6: Final answer
    x = 921.47

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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.