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Finding the Fourth Proportional to 1,002.66, 1,383.57 and 624.51

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Solution

The fourth proportional to 1,002.66, 1,383.57 and 624.51 is: 861.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.66 : 1,383.57 = 624.51 : x
  2. Step 2: Convert to fraction form
    1,002.66/1,383.57 = 624.51/x
  3. Step 3: Cross multiply
    1,002.66x = 1,383.57 × 624.51
  4. Step 4: Simplify right side
    1,002.66x = 864,053.30
  5. Step 5: Solve for x
    x = 864,053.30/1,002.66
  6. Step 6: Final answer
    x = 861.77

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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.