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Finding the Fourth Proportional to 1,079.90, 1,490.27 and 607.77

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Solution

The fourth proportional to 1,079.90, 1,490.27 and 607.77 is: 838.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.90 : 1,490.27 = 607.77 : x
  2. Step 2: Convert to fraction form
    1,079.90/1,490.27 = 607.77/x
  3. Step 3: Cross multiply
    1,079.90x = 1,490.27 × 607.77
  4. Step 4: Simplify right side
    1,079.90x = 905,738.36
  5. Step 5: Solve for x
    x = 905,738.36/1,079.90
  6. Step 6: Final answer
    x = 838.73

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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.