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Finding the Fourth Proportional to 1,069.84, 1,605.72 and 722.32

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Solution

The fourth proportional to 1,069.84, 1,605.72 and 722.32 is: 1,084.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.84 : 1,605.72 = 722.32 : x
  2. Step 2: Convert to fraction form
    1,069.84/1,605.72 = 722.32/x
  3. Step 3: Cross multiply
    1,069.84x = 1,605.72 × 722.32
  4. Step 4: Simplify right side
    1,069.84x = 1,159,843.67
  5. Step 5: Solve for x
    x = 1,159,843.67/1,069.84
  6. Step 6: Final answer
    x = 1,084.13

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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.