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Finding the Fourth Proportional to 1,019.03, 1,406.10 and 576.83

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Solution

The fourth proportional to 1,019.03, 1,406.10 and 576.83 is: 795.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.03 : 1,406.10 = 576.83 : x
  2. Step 2: Convert to fraction form
    1,019.03/1,406.10 = 576.83/x
  3. Step 3: Cross multiply
    1,019.03x = 1,406.10 × 576.83
  4. Step 4: Simplify right side
    1,019.03x = 811,080.66
  5. Step 5: Solve for x
    x = 811,080.66/1,019.03
  6. Step 6: Final answer
    x = 795.93

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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.