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Finding the Fourth Proportional to 1,768.61, 2,654.54 and 903.53

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Solution

The fourth proportional to 1,768.61, 2,654.54 and 903.53 is: 1,356.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.61 : 2,654.54 = 903.53 : x
  2. Step 2: Convert to fraction form
    1,768.61/2,654.54 = 903.53/x
  3. Step 3: Cross multiply
    1,768.61x = 2,654.54 × 903.53
  4. Step 4: Simplify right side
    1,768.61x = 2,398,456.53
  5. Step 5: Solve for x
    x = 2,398,456.53/1,768.61
  6. Step 6: Final answer
    x = 1,356.13

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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.