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Finding the Fourth Proportional to 946.89, 1,418.64 and 808.53

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Solution

The fourth proportional to 946.89, 1,418.64 and 808.53 is: 1,211.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.89 : 1,418.64 = 808.53 : x
  2. Step 2: Convert to fraction form
    946.89/1,418.64 = 808.53/x
  3. Step 3: Cross multiply
    946.89x = 1,418.64 × 808.53
  4. Step 4: Simplify right side
    946.89x = 1,147,013.00
  5. Step 5: Solve for x
    x = 1,147,013.00/946.89
  6. Step 6: Final answer
    x = 1,211.35

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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.