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Finding the Fourth Proportional to 1,657, 2,486.30 and 631.72

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Solution

The fourth proportional to 1,657, 2,486.30 and 631.72 is: 947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657 : 2,486.30 = 631.72 : x
  2. Step 2: Convert to fraction form
    1,657/2,486.30 = 631.72/x
  3. Step 3: Cross multiply
    1,657x = 2,486.30 × 631.72
  4. Step 4: Simplify right side
    1,657x = 1,570,645.44
  5. Step 5: Solve for x
    x = 1,570,645.44/1,657
  6. Step 6: Final answer
    x = 947.88

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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.