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Finding the Fourth Proportional to 1,086.16, 1,625.21 and 647.65

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Solution

The fourth proportional to 1,086.16, 1,625.21 and 647.65 is: 969.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.16 : 1,625.21 = 647.65 : x
  2. Step 2: Convert to fraction form
    1,086.16/1,625.21 = 647.65/x
  3. Step 3: Cross multiply
    1,086.16x = 1,625.21 × 647.65
  4. Step 4: Simplify right side
    1,086.16x = 1,052,567.26
  5. Step 5: Solve for x
    x = 1,052,567.26/1,086.16
  6. Step 6: Final answer
    x = 969.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.