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Finding the Fourth Proportional to 1,044, 1,438.08 and 781.68

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Solution

The fourth proportional to 1,044, 1,438.08 and 781.68 is: 1,076.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044 : 1,438.08 = 781.68 : x
  2. Step 2: Convert to fraction form
    1,044/1,438.08 = 781.68/x
  3. Step 3: Cross multiply
    1,044x = 1,438.08 × 781.68
  4. Step 4: Simplify right side
    1,044x = 1,124,118.37
  5. Step 5: Solve for x
    x = 1,124,118.37/1,044
  6. Step 6: Final answer
    x = 1,076.74

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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.