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Finding the Fourth Proportional to 1,018.36, 1,404.04 and 686.56

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Solution

The fourth proportional to 1,018.36, 1,404.04 and 686.56 is: 946.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.36 : 1,404.04 = 686.56 : x
  2. Step 2: Convert to fraction form
    1,018.36/1,404.04 = 686.56/x
  3. Step 3: Cross multiply
    1,018.36x = 1,404.04 × 686.56
  4. Step 4: Simplify right side
    1,018.36x = 963,957.70
  5. Step 5: Solve for x
    x = 963,957.70/1,018.36
  6. Step 6: Final answer
    x = 946.58

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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.