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Finding the Fourth Proportional to 1,230.48, 1,698.21 and 706.50

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Solution

The fourth proportional to 1,230.48, 1,698.21 and 706.50 is: 975.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.48 : 1,698.21 = 706.50 : x
  2. Step 2: Convert to fraction form
    1,230.48/1,698.21 = 706.50/x
  3. Step 3: Cross multiply
    1,230.48x = 1,698.21 × 706.50
  4. Step 4: Simplify right side
    1,230.48x = 1,199,785.37
  5. Step 5: Solve for x
    x = 1,199,785.37/1,230.48
  6. Step 6: Final answer
    x = 975.05

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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.