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Finding the Fourth Proportional to 1,603.88, 2,215.17 and 1,079.00

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Solution

The fourth proportional to 1,603.88, 2,215.17 and 1,079.00 is: 1,490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.88 : 2,215.17 = 1,079.00 : x
  2. Step 2: Convert to fraction form
    1,603.88/2,215.17 = 1,079.00/x
  3. Step 3: Cross multiply
    1,603.88x = 2,215.17 × 1,079.00
  4. Step 4: Simplify right side
    1,603.88x = 2,390,157.35
  5. Step 5: Solve for x
    x = 2,390,157.35/1,603.88
  6. Step 6: Final answer
    x = 1,490.24

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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.