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Finding the Fourth Proportional to 1,247.66, 1,871.90 and 598.45

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Solution

The fourth proportional to 1,247.66, 1,871.90 and 598.45 is: 897.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.66 : 1,871.90 = 598.45 : x
  2. Step 2: Convert to fraction form
    1,247.66/1,871.90 = 598.45/x
  3. Step 3: Cross multiply
    1,247.66x = 1,871.90 × 598.45
  4. Step 4: Simplify right side
    1,247.66x = 1,120,226.20
  5. Step 5: Solve for x
    x = 1,120,226.20/1,247.66
  6. Step 6: Final answer
    x = 897.86

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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.