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Finding the Fourth Proportional to 1,018.35, 1,406.03 and 752.85

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Solution

The fourth proportional to 1,018.35, 1,406.03 and 752.85 is: 1,039.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.35 : 1,406.03 = 752.85 : x
  2. Step 2: Convert to fraction form
    1,018.35/1,406.03 = 752.85/x
  3. Step 3: Cross multiply
    1,018.35x = 1,406.03 × 752.85
  4. Step 4: Simplify right side
    1,018.35x = 1,058,525.92
  5. Step 5: Solve for x
    x = 1,058,525.92/1,018.35
  6. Step 6: Final answer
    x = 1,039.45

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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.