Home / 1,019.16-1,406.44-577.14

Finding the Fourth Proportional to 1,019.16, 1,406.44 and 577.14

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Solution

The fourth proportional to 1,019.16, 1,406.44 and 577.14 is: 796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.16 : 1,406.44 = 577.14 : x
  2. Step 2: Convert to fraction form
    1,019.16/1,406.44 = 577.14/x
  3. Step 3: Cross multiply
    1,019.16x = 1,406.44 × 577.14
  4. Step 4: Simplify right side
    1,019.16x = 811,712.78
  5. Step 5: Solve for x
    x = 811,712.78/1,019.16
  6. Step 6: Final answer
    x = 796.46

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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.