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Finding the Fourth Proportional to 848.10, 1,271.34 and 415.56

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Solution

The fourth proportional to 848.10, 1,271.34 and 415.56 is: 622.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.10 : 1,271.34 = 415.56 : x
  2. Step 2: Convert to fraction form
    848.10/1,271.34 = 415.56/x
  3. Step 3: Cross multiply
    848.10x = 1,271.34 × 415.56
  4. Step 4: Simplify right side
    848.10x = 528,318.05
  5. Step 5: Solve for x
    x = 528,318.05/848.10
  6. Step 6: Final answer
    x = 622.94

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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.