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Finding the Fourth Proportional to 1,018.13, 1,405.15 and 669.02

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Solution

The fourth proportional to 1,018.13, 1,405.15 and 669.02 is: 923.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.13 : 1,405.15 = 669.02 : x
  2. Step 2: Convert to fraction form
    1,018.13/1,405.15 = 669.02/x
  3. Step 3: Cross multiply
    1,018.13x = 1,405.15 × 669.02
  4. Step 4: Simplify right side
    1,018.13x = 940,064.75
  5. Step 5: Solve for x
    x = 940,064.75/1,018.13
  6. Step 6: Final answer
    x = 923.33

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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.