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Finding the Fourth Proportional to 946.10, 1,305.15 and 814.88

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Solution

The fourth proportional to 946.10, 1,305.15 and 814.88 is: 1,124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.10 : 1,305.15 = 814.88 : x
  2. Step 2: Convert to fraction form
    946.10/1,305.15 = 814.88/x
  3. Step 3: Cross multiply
    946.10x = 1,305.15 × 814.88
  4. Step 4: Simplify right side
    946.10x = 1,063,534.11
  5. Step 5: Solve for x
    x = 1,063,534.11/946.10
  6. Step 6: Final answer
    x = 1,124.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.