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Finding the Fourth Proportional to 1,054.02, 1,575.51 and 743.79

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Solution

The fourth proportional to 1,054.02, 1,575.51 and 743.79 is: 1,111.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.02 : 1,575.51 = 743.79 : x
  2. Step 2: Convert to fraction form
    1,054.02/1,575.51 = 743.79/x
  3. Step 3: Cross multiply
    1,054.02x = 1,575.51 × 743.79
  4. Step 4: Simplify right side
    1,054.02x = 1,171,848.58
  5. Step 5: Solve for x
    x = 1,171,848.58/1,054.02
  6. Step 6: Final answer
    x = 1,111.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.