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Finding the Fourth Proportional to 1,337.42, 1,845.54 and 777.89

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Solution

The fourth proportional to 1,337.42, 1,845.54 and 777.89 is: 1,073.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.42 : 1,845.54 = 777.89 : x
  2. Step 2: Convert to fraction form
    1,337.42/1,845.54 = 777.89/x
  3. Step 3: Cross multiply
    1,337.42x = 1,845.54 × 777.89
  4. Step 4: Simplify right side
    1,337.42x = 1,435,627.11
  5. Step 5: Solve for x
    x = 1,435,627.11/1,337.42
  6. Step 6: Final answer
    x = 1,073.43

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