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Finding the Fourth Proportional to 1,002.94, 1,383.91 and 670.84

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Solution

The fourth proportional to 1,002.94, 1,383.91 and 670.84 is: 925.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.94 : 1,383.91 = 670.84 : x
  2. Step 2: Convert to fraction form
    1,002.94/1,383.91 = 670.84/x
  3. Step 3: Cross multiply
    1,002.94x = 1,383.91 × 670.84
  4. Step 4: Simplify right side
    1,002.94x = 928,382.18
  5. Step 5: Solve for x
    x = 928,382.18/1,002.94
  6. Step 6: Final answer
    x = 925.66

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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.