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Finding the Fourth Proportional to 1,270.47, 1,904.03 and 539.14

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Solution

The fourth proportional to 1,270.47, 1,904.03 and 539.14 is: 808.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.47 : 1,904.03 = 539.14 : x
  2. Step 2: Convert to fraction form
    1,270.47/1,904.03 = 539.14/x
  3. Step 3: Cross multiply
    1,270.47x = 1,904.03 × 539.14
  4. Step 4: Simplify right side
    1,270.47x = 1,026,538.73
  5. Step 5: Solve for x
    x = 1,026,538.73/1,270.47
  6. Step 6: Final answer
    x = 808.00

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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.