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Finding the Fourth Proportional to 1,020.59, 1,406.44 and 725.35

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Solution

The fourth proportional to 1,020.59, 1,406.44 and 725.35 is: 999.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.59 : 1,406.44 = 725.35 : x
  2. Step 2: Convert to fraction form
    1,020.59/1,406.44 = 725.35/x
  3. Step 3: Cross multiply
    1,020.59x = 1,406.44 × 725.35
  4. Step 4: Simplify right side
    1,020.59x = 1,020,161.25
  5. Step 5: Solve for x
    x = 1,020,161.25/1,020.59
  6. Step 6: Final answer
    x = 999.58

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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.