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Finding the Fourth Proportional to 946.31, 1,419.32 and 253.02

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Solution

The fourth proportional to 946.31, 1,419.32 and 253.02 is: 379.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.31 : 1,419.32 = 253.02 : x
  2. Step 2: Convert to fraction form
    946.31/1,419.32 = 253.02/x
  3. Step 3: Cross multiply
    946.31x = 1,419.32 × 253.02
  4. Step 4: Simplify right side
    946.31x = 359,115.08
  5. Step 5: Solve for x
    x = 359,115.08/946.31
  6. Step 6: Final answer
    x = 379.49

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Double scale
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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.