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Finding the Fourth Proportional to 1,069.98, 1,475.73 and 677.13

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Solution

The fourth proportional to 1,069.98, 1,475.73 and 677.13 is: 933.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.98 : 1,475.73 = 677.13 : x
  2. Step 2: Convert to fraction form
    1,069.98/1,475.73 = 677.13/x
  3. Step 3: Cross multiply
    1,069.98x = 1,475.73 × 677.13
  4. Step 4: Simplify right side
    1,069.98x = 999,261.05
  5. Step 5: Solve for x
    x = 999,261.05/1,069.98
  6. Step 6: Final answer
    x = 933.91

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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.