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Finding the Fourth Proportional to 1,002.84, 1,383.93 and 554.74

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Solution

The fourth proportional to 1,002.84, 1,383.93 and 554.74 is: 765.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.84 : 1,383.93 = 554.74 : x
  2. Step 2: Convert to fraction form
    1,002.84/1,383.93 = 554.74/x
  3. Step 3: Cross multiply
    1,002.84x = 1,383.93 × 554.74
  4. Step 4: Simplify right side
    1,002.84x = 767,722.01
  5. Step 5: Solve for x
    x = 767,722.01/1,002.84
  6. Step 6: Final answer
    x = 765.55

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Why These Related Problems?

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