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Finding the Fourth Proportional to 913.89, 1,361.04 and 858

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Solution

The fourth proportional to 913.89, 1,361.04 and 858 is: 1,277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.89 : 1,361.04 = 858 : x
  2. Step 2: Convert to fraction form
    913.89/1,361.04 = 858/x
  3. Step 3: Cross multiply
    913.89x = 1,361.04 × 858
  4. Step 4: Simplify right side
    913.89x = 1,167,772.32
  5. Step 5: Solve for x
    x = 1,167,772.32/913.89
  6. Step 6: Final answer
    x = 1,277.80

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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.