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Finding the Fourth Proportional to 946.25, 1,419.46 and 262.25

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Solution

The fourth proportional to 946.25, 1,419.46 and 262.25 is: 393.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.25 : 1,419.46 = 262.25 : x
  2. Step 2: Convert to fraction form
    946.25/1,419.46 = 262.25/x
  3. Step 3: Cross multiply
    946.25x = 1,419.46 × 262.25
  4. Step 4: Simplify right side
    946.25x = 372,252.07
  5. Step 5: Solve for x
    x = 372,252.07/946.25
  6. Step 6: Final answer
    x = 393.40

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1.5x scale

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.