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Finding the Fourth Proportional to 1,126.84, 1,690.14 and 305.19

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Solution

The fourth proportional to 1,126.84, 1,690.14 and 305.19 is: 457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.84 : 1,690.14 = 305.19 : x
  2. Step 2: Convert to fraction form
    1,126.84/1,690.14 = 305.19/x
  3. Step 3: Cross multiply
    1,126.84x = 1,690.14 × 305.19
  4. Step 4: Simplify right side
    1,126.84x = 515,818.87
  5. Step 5: Solve for x
    x = 515,818.87/1,126.84
  6. Step 6: Final answer
    x = 457.76

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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.