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Finding the Fourth Proportional to 1,230.50, 1,698.08 and 706.55

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Solution

The fourth proportional to 1,230.50, 1,698.08 and 706.55 is: 975.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.50 : 1,698.08 = 706.55 : x
  2. Step 2: Convert to fraction form
    1,230.50/1,698.08 = 706.55/x
  3. Step 3: Cross multiply
    1,230.50x = 1,698.08 × 706.55
  4. Step 4: Simplify right side
    1,230.50x = 1,199,766.40
  5. Step 5: Solve for x
    x = 1,199,766.40/1,230.50
  6. Step 6: Final answer
    x = 975.03

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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.