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Finding the Fourth Proportional to 1,626.70, 2,440.83 and 702.58

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Solution

The fourth proportional to 1,626.70, 2,440.83 and 702.58 is: 1,054.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.70 : 2,440.83 = 702.58 : x
  2. Step 2: Convert to fraction form
    1,626.70/2,440.83 = 702.58/x
  3. Step 3: Cross multiply
    1,626.70x = 2,440.83 × 702.58
  4. Step 4: Simplify right side
    1,626.70x = 1,714,878.34
  5. Step 5: Solve for x
    x = 1,714,878.34/1,626.70
  6. Step 6: Final answer
    x = 1,054.21

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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.