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Finding the Fourth Proportional to 926.42, 1,389.41 and 406.40

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Solution

The fourth proportional to 926.42, 1,389.41 and 406.40 is: 609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.42 : 1,389.41 = 406.40 : x
  2. Step 2: Convert to fraction form
    926.42/1,389.41 = 406.40/x
  3. Step 3: Cross multiply
    926.42x = 1,389.41 × 406.40
  4. Step 4: Simplify right side
    926.42x = 564,654.19
  5. Step 5: Solve for x
    x = 564,654.19/926.42
  6. Step 6: Final answer
    x = 609.50

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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.