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Finding the Fourth Proportional to 1,069.98, 1,476.36 and 676.77

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Solution

The fourth proportional to 1,069.98, 1,476.36 and 676.77 is: 933.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.98 : 1,476.36 = 676.77 : x
  2. Step 2: Convert to fraction form
    1,069.98/1,476.36 = 676.77/x
  3. Step 3: Cross multiply
    1,069.98x = 1,476.36 × 676.77
  4. Step 4: Simplify right side
    1,069.98x = 999,156.16
  5. Step 5: Solve for x
    x = 999,156.16/1,069.98
  6. Step 6: Final answer
    x = 933.81

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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.