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Finding the Fourth Proportional to 1,127.84, 1,556.46 and 630.54

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Solution

The fourth proportional to 1,127.84, 1,556.46 and 630.54 is: 870.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.84 : 1,556.46 = 630.54 : x
  2. Step 2: Convert to fraction form
    1,127.84/1,556.46 = 630.54/x
  3. Step 3: Cross multiply
    1,127.84x = 1,556.46 × 630.54
  4. Step 4: Simplify right side
    1,127.84x = 981,410.29
  5. Step 5: Solve for x
    x = 981,410.29/1,127.84
  6. Step 6: Final answer
    x = 870.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.