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Finding the Fourth Proportional to 1,670.42, 2,305.25 and 1,032.50

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Solution

The fourth proportional to 1,670.42, 2,305.25 and 1,032.50 is: 1,424.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.42 : 2,305.25 = 1,032.50 : x
  2. Step 2: Convert to fraction form
    1,670.42/2,305.25 = 1,032.50/x
  3. Step 3: Cross multiply
    1,670.42x = 2,305.25 × 1,032.50
  4. Step 4: Simplify right side
    1,670.42x = 2,380,170.63
  5. Step 5: Solve for x
    x = 2,380,170.63/1,670.42
  6. Step 6: Final answer
    x = 1,424.89

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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.