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Finding the Fourth Proportional to 1,020.34, 1,408.53 and 725.77

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Solution

The fourth proportional to 1,020.34, 1,408.53 and 725.77 is: 1,001.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.34 : 1,408.53 = 725.77 : x
  2. Step 2: Convert to fraction form
    1,020.34/1,408.53 = 725.77/x
  3. Step 3: Cross multiply
    1,020.34x = 1,408.53 × 725.77
  4. Step 4: Simplify right side
    1,020.34x = 1,022,268.82
  5. Step 5: Solve for x
    x = 1,022,268.82/1,020.34
  6. Step 6: Final answer
    x = 1,001.89

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1.5x scale

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.