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Finding the Fourth Proportional to 1,019.36, 1,406.64 and 577.16

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Solution

The fourth proportional to 1,019.36, 1,406.64 and 577.16 is: 796.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.36 : 1,406.64 = 577.16 : x
  2. Step 2: Convert to fraction form
    1,019.36/1,406.64 = 577.16/x
  3. Step 3: Cross multiply
    1,019.36x = 1,406.64 × 577.16
  4. Step 4: Simplify right side
    1,019.36x = 811,856.34
  5. Step 5: Solve for x
    x = 811,856.34/1,019.36
  6. Step 6: Final answer
    x = 796.44

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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.