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Finding the Fourth Proportional to 1,038.84, 1,549.20 and 981.33

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Solution

The fourth proportional to 1,038.84, 1,549.20 and 981.33 is: 1,463.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.84 : 1,549.20 = 981.33 : x
  2. Step 2: Convert to fraction form
    1,038.84/1,549.20 = 981.33/x
  3. Step 3: Cross multiply
    1,038.84x = 1,549.20 × 981.33
  4. Step 4: Simplify right side
    1,038.84x = 1,520,276.44
  5. Step 5: Solve for x
    x = 1,520,276.44/1,038.84
  6. Step 6: Final answer
    x = 1,463.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.