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Finding the Fourth Proportional to 946.78, 1,419.01 and 687.68

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Solution

The fourth proportional to 946.78, 1,419.01 and 687.68 is: 1,030.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.78 : 1,419.01 = 687.68 : x
  2. Step 2: Convert to fraction form
    946.78/1,419.01 = 687.68/x
  3. Step 3: Cross multiply
    946.78x = 1,419.01 × 687.68
  4. Step 4: Simplify right side
    946.78x = 975,824.80
  5. Step 5: Solve for x
    x = 975,824.80/946.78
  6. Step 6: Final answer
    x = 1,030.68

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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.