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Finding the Fourth Proportional to 1,583.66, 2,374.57 and 487.73

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Solution

The fourth proportional to 1,583.66, 2,374.57 and 487.73 is: 731.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.66 : 2,374.57 = 487.73 : x
  2. Step 2: Convert to fraction form
    1,583.66/2,374.57 = 487.73/x
  3. Step 3: Cross multiply
    1,583.66x = 2,374.57 × 487.73
  4. Step 4: Simplify right side
    1,583.66x = 1,158,137.76
  5. Step 5: Solve for x
    x = 1,158,137.76/1,583.66
  6. Step 6: Final answer
    x = 731.31

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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.