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Finding the Fourth Proportional to 1,019.19, 1,406.12 and 576.93

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Solution

The fourth proportional to 1,019.19, 1,406.12 and 576.93 is: 795.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.19 : 1,406.12 = 576.93 : x
  2. Step 2: Convert to fraction form
    1,019.19/1,406.12 = 576.93/x
  3. Step 3: Cross multiply
    1,019.19x = 1,406.12 × 576.93
  4. Step 4: Simplify right side
    1,019.19x = 811,229.93
  5. Step 5: Solve for x
    x = 811,229.93/1,019.19
  6. Step 6: Final answer
    x = 795.96

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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.