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Finding the Fourth Proportional to 929.75, 1,395.47 and 926.26

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Solution

The fourth proportional to 929.75, 1,395.47 and 926.26 is: 1,390.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.75 : 1,395.47 = 926.26 : x
  2. Step 2: Convert to fraction form
    929.75/1,395.47 = 926.26/x
  3. Step 3: Cross multiply
    929.75x = 1,395.47 × 926.26
  4. Step 4: Simplify right side
    929.75x = 1,292,566.87
  5. Step 5: Solve for x
    x = 1,292,566.87/929.75
  6. Step 6: Final answer
    x = 1,390.24

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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.