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Finding the Fourth Proportional to 1,007.88, 1,389.64 and 820.98

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Solution

The fourth proportional to 1,007.88, 1,389.64 and 820.98 is: 1,131.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.88 : 1,389.64 = 820.98 : x
  2. Step 2: Convert to fraction form
    1,007.88/1,389.64 = 820.98/x
  3. Step 3: Cross multiply
    1,007.88x = 1,389.64 × 820.98
  4. Step 4: Simplify right side
    1,007.88x = 1,140,866.65
  5. Step 5: Solve for x
    x = 1,140,866.65/1,007.88
  6. Step 6: Final answer
    x = 1,131.95

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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.