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Finding the Fourth Proportional to 1,063.51, 1,466.77 and 643.83

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Solution

The fourth proportional to 1,063.51, 1,466.77 and 643.83 is: 887.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.51 : 1,466.77 = 643.83 : x
  2. Step 2: Convert to fraction form
    1,063.51/1,466.77 = 643.83/x
  3. Step 3: Cross multiply
    1,063.51x = 1,466.77 × 643.83
  4. Step 4: Simplify right side
    1,063.51x = 944,350.53
  5. Step 5: Solve for x
    x = 944,350.53/1,063.51
  6. Step 6: Final answer
    x = 887.96

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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.