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Finding the Fourth Proportional to 1,030.84, 1,546.34 and 445.86

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Solution

The fourth proportional to 1,030.84, 1,546.34 and 445.86 is: 668.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.84 : 1,546.34 = 445.86 : x
  2. Step 2: Convert to fraction form
    1,030.84/1,546.34 = 445.86/x
  3. Step 3: Cross multiply
    1,030.84x = 1,546.34 × 445.86
  4. Step 4: Simplify right side
    1,030.84x = 689,451.15
  5. Step 5: Solve for x
    x = 689,451.15/1,030.84
  6. Step 6: Final answer
    x = 668.82

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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.