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Finding the Fourth Proportional to 1,069.51, 1,604.55 and 705.01

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Solution

The fourth proportional to 1,069.51, 1,604.55 and 705.01 is: 1,057.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.51 : 1,604.55 = 705.01 : x
  2. Step 2: Convert to fraction form
    1,069.51/1,604.55 = 705.01/x
  3. Step 3: Cross multiply
    1,069.51x = 1,604.55 × 705.01
  4. Step 4: Simplify right side
    1,069.51x = 1,131,223.80
  5. Step 5: Solve for x
    x = 1,131,223.80/1,069.51
  6. Step 6: Final answer
    x = 1,057.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.