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Finding the Fourth Proportional to 1,127.08, 1,690.82 and 511.07

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Solution

The fourth proportional to 1,127.08, 1,690.82 and 511.07 is: 766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.08 : 1,690.82 = 511.07 : x
  2. Step 2: Convert to fraction form
    1,127.08/1,690.82 = 511.07/x
  3. Step 3: Cross multiply
    1,127.08x = 1,690.82 × 511.07
  4. Step 4: Simplify right side
    1,127.08x = 864,127.38
  5. Step 5: Solve for x
    x = 864,127.38/1,127.08
  6. Step 6: Final answer
    x = 766.70

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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.