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Finding the Fourth Proportional to 848.45, 1,271.54 and 360.89

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Solution

The fourth proportional to 848.45, 1,271.54 and 360.89 is: 540.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.45 : 1,271.54 = 360.89 : x
  2. Step 2: Convert to fraction form
    848.45/1,271.54 = 360.89/x
  3. Step 3: Cross multiply
    848.45x = 1,271.54 × 360.89
  4. Step 4: Simplify right side
    848.45x = 458,877.91
  5. Step 5: Solve for x
    x = 458,877.91/848.45
  6. Step 6: Final answer
    x = 540.85

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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.