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Finding the Fourth Proportional to 1,558.96, 2,152.48 and 970

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Solution

The fourth proportional to 1,558.96, 2,152.48 and 970 is: 1,339.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.96 : 2,152.48 = 970 : x
  2. Step 2: Convert to fraction form
    1,558.96/2,152.48 = 970/x
  3. Step 3: Cross multiply
    1,558.96x = 2,152.48 × 970
  4. Step 4: Simplify right side
    1,558.96x = 2,087,905.60
  5. Step 5: Solve for x
    x = 2,087,905.60/1,558.96
  6. Step 6: Final answer
    x = 1,339.29

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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.