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Finding the Fourth Proportional to 1,026.54, 1,539.95 and 333.45

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Solution

The fourth proportional to 1,026.54, 1,539.95 and 333.45 is: 500.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.54 : 1,539.95 = 333.45 : x
  2. Step 2: Convert to fraction form
    1,026.54/1,539.95 = 333.45/x
  3. Step 3: Cross multiply
    1,026.54x = 1,539.95 × 333.45
  4. Step 4: Simplify right side
    1,026.54x = 513,494.66
  5. Step 5: Solve for x
    x = 513,494.66/1,026.54
  6. Step 6: Final answer
    x = 500.22

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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.