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Finding the Fourth Proportional to 1,074.37, 1,482.49 and 626.37

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Solution

The fourth proportional to 1,074.37, 1,482.49 and 626.37 is: 864.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.37 : 1,482.49 = 626.37 : x
  2. Step 2: Convert to fraction form
    1,074.37/1,482.49 = 626.37/x
  3. Step 3: Cross multiply
    1,074.37x = 1,482.49 × 626.37
  4. Step 4: Simplify right side
    1,074.37x = 928,587.26
  5. Step 5: Solve for x
    x = 928,587.26/1,074.37
  6. Step 6: Final answer
    x = 864.31

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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.