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Finding the Fourth Proportional to 1,069.55, 1,607.66 and 706.67

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Solution

The fourth proportional to 1,069.55, 1,607.66 and 706.67 is: 1,062.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.55 : 1,607.66 = 706.67 : x
  2. Step 2: Convert to fraction form
    1,069.55/1,607.66 = 706.67/x
  3. Step 3: Cross multiply
    1,069.55x = 1,607.66 × 706.67
  4. Step 4: Simplify right side
    1,069.55x = 1,136,078.82
  5. Step 5: Solve for x
    x = 1,136,078.82/1,069.55
  6. Step 6: Final answer
    x = 1,062.21

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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.