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Finding the Fourth Proportional to 1,658.41, 2,485.29 and 1,310.20

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Solution

The fourth proportional to 1,658.41, 2,485.29 and 1,310.20 is: 1,963.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.41 : 2,485.29 = 1,310.20 : x
  2. Step 2: Convert to fraction form
    1,658.41/2,485.29 = 1,310.20/x
  3. Step 3: Cross multiply
    1,658.41x = 2,485.29 × 1,310.20
  4. Step 4: Simplify right side
    1,658.41x = 3,256,226.96
  5. Step 5: Solve for x
    x = 3,256,226.96/1,658.41
  6. Step 6: Final answer
    x = 1,963.46

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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.