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Finding the Fourth Proportional to 1,063.21, 1,467.16 and 591.07

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Solution

The fourth proportional to 1,063.21, 1,467.16 and 591.07 is: 815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.21 : 1,467.16 = 591.07 : x
  2. Step 2: Convert to fraction form
    1,063.21/1,467.16 = 591.07/x
  3. Step 3: Cross multiply
    1,063.21x = 1,467.16 × 591.07
  4. Step 4: Simplify right side
    1,063.21x = 867,199.32
  5. Step 5: Solve for x
    x = 867,199.32/1,063.21
  6. Step 6: Final answer
    x = 815.64

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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.