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Finding the Fourth Proportional to 1,603.36, 2,212.68 and 904.76

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Solution

The fourth proportional to 1,603.36, 2,212.68 and 904.76 is: 1,248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.36 : 2,212.68 = 904.76 : x
  2. Step 2: Convert to fraction form
    1,603.36/2,212.68 = 904.76/x
  3. Step 3: Cross multiply
    1,603.36x = 2,212.68 × 904.76
  4. Step 4: Simplify right side
    1,603.36x = 2,001,944.36
  5. Step 5: Solve for x
    x = 2,001,944.36/1,603.36
  6. Step 6: Final answer
    x = 1,248.59

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