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Finding the Fourth Proportional to 1,062.90, 1,466.83 and 643.17

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Solution

The fourth proportional to 1,062.90, 1,466.83 and 643.17 is: 887.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.90 : 1,466.83 = 643.17 : x
  2. Step 2: Convert to fraction form
    1,062.90/1,466.83 = 643.17/x
  3. Step 3: Cross multiply
    1,062.90x = 1,466.83 × 643.17
  4. Step 4: Simplify right side
    1,062.90x = 943,427.36
  5. Step 5: Solve for x
    x = 943,427.36/1,062.90
  6. Step 6: Final answer
    x = 887.60

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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.