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Finding the Fourth Proportional to 1,042.60, 1,564.08 and 426.28

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Solution

The fourth proportional to 1,042.60, 1,564.08 and 426.28 is: 639.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.60 : 1,564.08 = 426.28 : x
  2. Step 2: Convert to fraction form
    1,042.60/1,564.08 = 426.28/x
  3. Step 3: Cross multiply
    1,042.60x = 1,564.08 × 426.28
  4. Step 4: Simplify right side
    1,042.60x = 666,736.02
  5. Step 5: Solve for x
    x = 666,736.02/1,042.60
  6. Step 6: Final answer
    x = 639.49

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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.