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Finding the Fourth Proportional to 1,054.55, 1,455.90 and 937.78

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Solution

The fourth proportional to 1,054.55, 1,455.90 and 937.78 is: 1,294.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.55 : 1,455.90 = 937.78 : x
  2. Step 2: Convert to fraction form
    1,054.55/1,455.90 = 937.78/x
  3. Step 3: Cross multiply
    1,054.55x = 1,455.90 × 937.78
  4. Step 4: Simplify right side
    1,054.55x = 1,365,313.90
  5. Step 5: Solve for x
    x = 1,365,313.90/1,054.55
  6. Step 6: Final answer
    x = 1,294.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.