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Finding the Fourth Proportional to 1,018.84, 1,404.36 and 687.16

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Solution

The fourth proportional to 1,018.84, 1,404.36 and 687.16 is: 947.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.84 : 1,404.36 = 687.16 : x
  2. Step 2: Convert to fraction form
    1,018.84/1,404.36 = 687.16/x
  3. Step 3: Cross multiply
    1,018.84x = 1,404.36 × 687.16
  4. Step 4: Simplify right side
    1,018.84x = 965,020.02
  5. Step 5: Solve for x
    x = 965,020.02/1,018.84
  6. Step 6: Final answer
    x = 947.18

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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.