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Finding the Fourth Proportional to 1,079.83, 1,490.07 and 607.78

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Solution

The fourth proportional to 1,079.83, 1,490.07 and 607.78 is: 838.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.83 : 1,490.07 = 607.78 : x
  2. Step 2: Convert to fraction form
    1,079.83/1,490.07 = 607.78/x
  3. Step 3: Cross multiply
    1,079.83x = 1,490.07 × 607.78
  4. Step 4: Simplify right side
    1,079.83x = 905,634.74
  5. Step 5: Solve for x
    x = 905,634.74/1,079.83
  6. Step 6: Final answer
    x = 838.68

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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.