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Finding the Fourth Proportional to 840.11, 1,259.55 and 428.90

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Solution

The fourth proportional to 840.11, 1,259.55 and 428.90 is: 643.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.11 : 1,259.55 = 428.90 : x
  2. Step 2: Convert to fraction form
    840.11/1,259.55 = 428.90/x
  3. Step 3: Cross multiply
    840.11x = 1,259.55 × 428.90
  4. Step 4: Simplify right side
    840.11x = 540,214.70
  5. Step 5: Solve for x
    x = 540,214.70/840.11
  6. Step 6: Final answer
    x = 643.03

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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.