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Finding the Fourth Proportional to 1,701.42, 2,549.90 and 1,658.50

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Solution

The fourth proportional to 1,701.42, 2,549.90 and 1,658.50 is: 2,485.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.42 : 2,549.90 = 1,658.50 : x
  2. Step 2: Convert to fraction form
    1,701.42/2,549.90 = 1,658.50/x
  3. Step 3: Cross multiply
    1,701.42x = 2,549.90 × 1,658.50
  4. Step 4: Simplify right side
    1,701.42x = 4,229,009.15
  5. Step 5: Solve for x
    x = 4,229,009.15/1,701.42
  6. Step 6: Final answer
    x = 2,485.58

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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.