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Finding the Fourth Proportional to 1,042.40, 1,438.50 and 570.27

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Solution

The fourth proportional to 1,042.40, 1,438.50 and 570.27 is: 786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.40 : 1,438.50 = 570.27 : x
  2. Step 2: Convert to fraction form
    1,042.40/1,438.50 = 570.27/x
  3. Step 3: Cross multiply
    1,042.40x = 1,438.50 × 570.27
  4. Step 4: Simplify right side
    1,042.40x = 820,333.40
  5. Step 5: Solve for x
    x = 820,333.40/1,042.40
  6. Step 6: Final answer
    x = 786.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.