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Finding the Fourth Proportional to 926.13, 1,389.93 and 406.51

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Solution

The fourth proportional to 926.13, 1,389.93 and 406.51 is: 610.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.13 : 1,389.93 = 406.51 : x
  2. Step 2: Convert to fraction form
    926.13/1,389.93 = 406.51/x
  3. Step 3: Cross multiply
    926.13x = 1,389.93 × 406.51
  4. Step 4: Simplify right side
    926.13x = 565,020.44
  5. Step 5: Solve for x
    x = 565,020.44/926.13
  6. Step 6: Final answer
    x = 610.09

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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.