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Finding the Fourth Proportional to 1,019.08, 1,406.40 and 576.98

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Solution

The fourth proportional to 1,019.08, 1,406.40 and 576.98 is: 796.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.08 : 1,406.40 = 576.98 : x
  2. Step 2: Convert to fraction form
    1,019.08/1,406.40 = 576.98/x
  3. Step 3: Cross multiply
    1,019.08x = 1,406.40 × 576.98
  4. Step 4: Simplify right side
    1,019.08x = 811,466.75
  5. Step 5: Solve for x
    x = 811,466.75/1,019.08
  6. Step 6: Final answer
    x = 796.28

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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.