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Finding the Fourth Proportional to 1,415.40, 2,122.98 and 635.44

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Solution

The fourth proportional to 1,415.40, 2,122.98 and 635.44 is: 953.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.40 : 2,122.98 = 635.44 : x
  2. Step 2: Convert to fraction form
    1,415.40/2,122.98 = 635.44/x
  3. Step 3: Cross multiply
    1,415.40x = 2,122.98 × 635.44
  4. Step 4: Simplify right side
    1,415.40x = 1,349,026.41
  5. Step 5: Solve for x
    x = 1,349,026.41/1,415.40
  6. Step 6: Final answer
    x = 953.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.