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Finding the Fourth Proportional to 940.77, 1,409.24 and 570.35

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Solution

The fourth proportional to 940.77, 1,409.24 and 570.35 is: 854.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.77 : 1,409.24 = 570.35 : x
  2. Step 2: Convert to fraction form
    940.77/1,409.24 = 570.35/x
  3. Step 3: Cross multiply
    940.77x = 1,409.24 × 570.35
  4. Step 4: Simplify right side
    940.77x = 803,764.98
  5. Step 5: Solve for x
    x = 803,764.98/940.77
  6. Step 6: Final answer
    x = 854.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.