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Finding the Fourth Proportional to 1,063.49, 1,467.64 and 643.77

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Solution

The fourth proportional to 1,063.49, 1,467.64 and 643.77 is: 888.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.49 : 1,467.64 = 643.77 : x
  2. Step 2: Convert to fraction form
    1,063.49/1,467.64 = 643.77/x
  3. Step 3: Cross multiply
    1,063.49x = 1,467.64 × 643.77
  4. Step 4: Simplify right side
    1,063.49x = 944,822.60
  5. Step 5: Solve for x
    x = 944,822.60/1,063.49
  6. Step 6: Final answer
    x = 888.42

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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.