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Finding the Fourth Proportional to 1,126.27, 1,690.02 and 509.93

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Solution

The fourth proportional to 1,126.27, 1,690.02 and 509.93 is: 765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.27 : 1,690.02 = 509.93 : x
  2. Step 2: Convert to fraction form
    1,126.27/1,690.02 = 509.93/x
  3. Step 3: Cross multiply
    1,126.27x = 1,690.02 × 509.93
  4. Step 4: Simplify right side
    1,126.27x = 861,789.79
  5. Step 5: Solve for x
    x = 861,789.79/1,126.27
  6. Step 6: Final answer
    x = 765.17

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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.