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Finding the Fourth Proportional to 926.55, 1,390.41 and 494.01

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Solution

The fourth proportional to 926.55, 1,390.41 and 494.01 is: 741.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.55 : 1,390.41 = 494.01 : x
  2. Step 2: Convert to fraction form
    926.55/1,390.41 = 494.01/x
  3. Step 3: Cross multiply
    926.55x = 1,390.41 × 494.01
  4. Step 4: Simplify right side
    926.55x = 686,876.44
  5. Step 5: Solve for x
    x = 686,876.44/926.55
  6. Step 6: Final answer
    x = 741.33

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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.