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Finding the Fourth Proportional to 1,702.33, 2,551.70 and 970.34

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Solution

The fourth proportional to 1,702.33, 2,551.70 and 970.34 is: 1,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.33 : 2,551.70 = 970.34 : x
  2. Step 2: Convert to fraction form
    1,702.33/2,551.70 = 970.34/x
  3. Step 3: Cross multiply
    1,702.33x = 2,551.70 × 970.34
  4. Step 4: Simplify right side
    1,702.33x = 2,476,016.58
  5. Step 5: Solve for x
    x = 2,476,016.58/1,702.33
  6. Step 6: Final answer
    x = 1,454.49

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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.