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Finding the Fourth Proportional to 1,248.06, 1,872.80 and 554.64

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Solution

The fourth proportional to 1,248.06, 1,872.80 and 554.64 is: 832.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.06 : 1,872.80 = 554.64 : x
  2. Step 2: Convert to fraction form
    1,248.06/1,872.80 = 554.64/x
  3. Step 3: Cross multiply
    1,248.06x = 1,872.80 × 554.64
  4. Step 4: Simplify right side
    1,248.06x = 1,038,729.79
  5. Step 5: Solve for x
    x = 1,038,729.79/1,248.06
  6. Step 6: Final answer
    x = 832.28

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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.