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Finding the Fourth Proportional to 1,247.74, 1,872.28 and 555.10

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Solution

The fourth proportional to 1,247.74, 1,872.28 and 555.10 is: 832.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.74 : 1,872.28 = 555.10 : x
  2. Step 2: Convert to fraction form
    1,247.74/1,872.28 = 555.10/x
  3. Step 3: Cross multiply
    1,247.74x = 1,872.28 × 555.10
  4. Step 4: Simplify right side
    1,247.74x = 1,039,302.63
  5. Step 5: Solve for x
    x = 1,039,302.63/1,247.74
  6. Step 6: Final answer
    x = 832.95

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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.