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Finding the Fourth Proportional to 1,033.17, 1,549.28 and 383.45

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Solution

The fourth proportional to 1,033.17, 1,549.28 and 383.45 is: 574.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.17 : 1,549.28 = 383.45 : x
  2. Step 2: Convert to fraction form
    1,033.17/1,549.28 = 383.45/x
  3. Step 3: Cross multiply
    1,033.17x = 1,549.28 × 383.45
  4. Step 4: Simplify right side
    1,033.17x = 594,061.75
  5. Step 5: Solve for x
    x = 594,061.75/1,033.17
  6. Step 6: Final answer
    x = 574.99

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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.