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Finding the Fourth Proportional to 1,030.76, 1,546.14 and 800.12

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Solution

The fourth proportional to 1,030.76, 1,546.14 and 800.12 is: 1,200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.76 : 1,546.14 = 800.12 : x
  2. Step 2: Convert to fraction form
    1,030.76/1,546.14 = 800.12/x
  3. Step 3: Cross multiply
    1,030.76x = 1,546.14 × 800.12
  4. Step 4: Simplify right side
    1,030.76x = 1,237,097.54
  5. Step 5: Solve for x
    x = 1,237,097.54/1,030.76
  6. Step 6: Final answer
    x = 1,200.18

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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.