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Finding the Fourth Proportional to 1,012.12, 1,517.06 and 930.11

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Solution

The fourth proportional to 1,012.12, 1,517.06 and 930.11 is: 1,394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.12 : 1,517.06 = 930.11 : x
  2. Step 2: Convert to fraction form
    1,012.12/1,517.06 = 930.11/x
  3. Step 3: Cross multiply
    1,012.12x = 1,517.06 × 930.11
  4. Step 4: Simplify right side
    1,012.12x = 1,411,025.09
  5. Step 5: Solve for x
    x = 1,411,025.09/1,012.12
  6. Step 6: Final answer
    x = 1,394.13

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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.