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Finding the Fourth Proportional to 1,002.51, 1,382.73 and 670.36

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Solution

The fourth proportional to 1,002.51, 1,382.73 and 670.36 is: 924.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.51 : 1,382.73 = 670.36 : x
  2. Step 2: Convert to fraction form
    1,002.51/1,382.73 = 670.36/x
  3. Step 3: Cross multiply
    1,002.51x = 1,382.73 × 670.36
  4. Step 4: Simplify right side
    1,002.51x = 926,926.88
  5. Step 5: Solve for x
    x = 926,926.88/1,002.51
  6. Step 6: Final answer
    x = 924.61

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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.