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Finding the Fourth Proportional to 1,144.98, 1,580.07 and 621.01

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Solution

The fourth proportional to 1,144.98, 1,580.07 and 621.01 is: 856.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.98 : 1,580.07 = 621.01 : x
  2. Step 2: Convert to fraction form
    1,144.98/1,580.07 = 621.01/x
  3. Step 3: Cross multiply
    1,144.98x = 1,580.07 × 621.01
  4. Step 4: Simplify right side
    1,144.98x = 981,239.27
  5. Step 5: Solve for x
    x = 981,239.27/1,144.98
  6. Step 6: Final answer
    x = 856.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.