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Finding the Fourth Proportional to 926.81, 1,390.60 and 406.54

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Solution

The fourth proportional to 926.81, 1,390.60 and 406.54 is: 609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.81 : 1,390.60 = 406.54 : x
  2. Step 2: Convert to fraction form
    926.81/1,390.60 = 406.54/x
  3. Step 3: Cross multiply
    926.81x = 1,390.60 × 406.54
  4. Step 4: Simplify right side
    926.81x = 565,329.01
  5. Step 5: Solve for x
    x = 565,329.01/926.81
  6. Step 6: Final answer
    x = 609.98

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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.