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Finding the Fourth Proportional to 1,230.88, 1,698.60 and 707.04

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Solution

The fourth proportional to 1,230.88, 1,698.60 and 707.04 is: 975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.88 : 1,698.60 = 707.04 : x
  2. Step 2: Convert to fraction form
    1,230.88/1,698.60 = 707.04/x
  3. Step 3: Cross multiply
    1,230.88x = 1,698.60 × 707.04
  4. Step 4: Simplify right side
    1,230.88x = 1,200,978.14
  5. Step 5: Solve for x
    x = 1,200,978.14/1,230.88
  6. Step 6: Final answer
    x = 975.71

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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.