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Finding the Fourth Proportional to 1,570.22, 2,355.34 and 543.98

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Solution

The fourth proportional to 1,570.22, 2,355.34 and 543.98 is: 815.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.22 : 2,355.34 = 543.98 : x
  2. Step 2: Convert to fraction form
    1,570.22/2,355.34 = 543.98/x
  3. Step 3: Cross multiply
    1,570.22x = 2,355.34 × 543.98
  4. Step 4: Simplify right side
    1,570.22x = 1,281,257.85
  5. Step 5: Solve for x
    x = 1,281,257.85/1,570.22
  6. Step 6: Final answer
    x = 815.97

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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.