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Finding the Fourth Proportional to 940.07, 1,297.85 and 625.77

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Solution

The fourth proportional to 940.07, 1,297.85 and 625.77 is: 863.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.07 : 1,297.85 = 625.77 : x
  2. Step 2: Convert to fraction form
    940.07/1,297.85 = 625.77/x
  3. Step 3: Cross multiply
    940.07x = 1,297.85 × 625.77
  4. Step 4: Simplify right side
    940.07x = 812,152.47
  5. Step 5: Solve for x
    x = 812,152.47/940.07
  6. Step 6: Final answer
    x = 863.93

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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.