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Finding the Fourth Proportional to 1,079.93, 1,490.33 and 637.94

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Solution

The fourth proportional to 1,079.93, 1,490.33 and 637.94 is: 880.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.93 : 1,490.33 = 637.94 : x
  2. Step 2: Convert to fraction form
    1,079.93/1,490.33 = 637.94/x
  3. Step 3: Cross multiply
    1,079.93x = 1,490.33 × 637.94
  4. Step 4: Simplify right side
    1,079.93x = 950,746.44
  5. Step 5: Solve for x
    x = 950,746.44/1,079.93
  6. Step 6: Final answer
    x = 880.38

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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.