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Finding the Fourth Proportional to 946.78, 1,417.97 and 913.94

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Solution

The fourth proportional to 946.78, 1,417.97 and 913.94 is: 1,368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.78 : 1,417.97 = 913.94 : x
  2. Step 2: Convert to fraction form
    946.78/1,417.97 = 913.94/x
  3. Step 3: Cross multiply
    946.78x = 1,417.97 × 913.94
  4. Step 4: Simplify right side
    946.78x = 1,295,934.87
  5. Step 5: Solve for x
    x = 1,295,934.87/946.78
  6. Step 6: Final answer
    x = 1,368.78

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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.