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Finding the Fourth Proportional to 1,026.05, 1,415.70 and 606.26

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Solution

The fourth proportional to 1,026.05, 1,415.70 and 606.26 is: 836.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.05 : 1,415.70 = 606.26 : x
  2. Step 2: Convert to fraction form
    1,026.05/1,415.70 = 606.26/x
  3. Step 3: Cross multiply
    1,026.05x = 1,415.70 × 606.26
  4. Step 4: Simplify right side
    1,026.05x = 858,285.82
  5. Step 5: Solve for x
    x = 858,285.82/1,026.05
  6. Step 6: Final answer
    x = 836.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.