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Finding the Fourth Proportional to 1,487.06, 2,229.48 and 706.58

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Solution

The fourth proportional to 1,487.06, 2,229.48 and 706.58 is: 1,059.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.06 : 2,229.48 = 706.58 : x
  2. Step 2: Convert to fraction form
    1,487.06/2,229.48 = 706.58/x
  3. Step 3: Cross multiply
    1,487.06x = 2,229.48 × 706.58
  4. Step 4: Simplify right side
    1,487.06x = 1,575,305.98
  5. Step 5: Solve for x
    x = 1,575,305.98/1,487.06
  6. Step 6: Final answer
    x = 1,059.34

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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.