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Finding the Fourth Proportional to 1,741.58, 2,612.52 and 630.76

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Solution

The fourth proportional to 1,741.58, 2,612.52 and 630.76 is: 946.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.58 : 2,612.52 = 630.76 : x
  2. Step 2: Convert to fraction form
    1,741.58/2,612.52 = 630.76/x
  3. Step 3: Cross multiply
    1,741.58x = 2,612.52 × 630.76
  4. Step 4: Simplify right side
    1,741.58x = 1,647,873.12
  5. Step 5: Solve for x
    x = 1,647,873.12/1,741.58
  6. Step 6: Final answer
    x = 946.19

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1.5x scale

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.