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Finding the Fourth Proportional to 1,018.23, 1,405.29 and 687.38

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Solution

The fourth proportional to 1,018.23, 1,405.29 and 687.38 is: 948.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.23 : 1,405.29 = 687.38 : x
  2. Step 2: Convert to fraction form
    1,018.23/1,405.29 = 687.38/x
  3. Step 3: Cross multiply
    1,018.23x = 1,405.29 × 687.38
  4. Step 4: Simplify right side
    1,018.23x = 965,961.21
  5. Step 5: Solve for x
    x = 965,961.21/1,018.23
  6. Step 6: Final answer
    x = 948.67

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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.