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Finding the Fourth Proportional to 1,230.70, 1,698.52 and 706.72

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Solution

The fourth proportional to 1,230.70, 1,698.52 and 706.72 is: 975.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.70 : 1,698.52 = 706.72 : x
  2. Step 2: Convert to fraction form
    1,230.70/1,698.52 = 706.72/x
  3. Step 3: Cross multiply
    1,230.70x = 1,698.52 × 706.72
  4. Step 4: Simplify right side
    1,230.70x = 1,200,376.29
  5. Step 5: Solve for x
    x = 1,200,376.29/1,230.70
  6. Step 6: Final answer
    x = 975.36

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1.5x scale

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.