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Finding the Fourth Proportional to 848.92, 1,272.92 and 478.57

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Solution

The fourth proportional to 848.92, 1,272.92 and 478.57 is: 717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.92 : 1,272.92 = 478.57 : x
  2. Step 2: Convert to fraction form
    848.92/1,272.92 = 478.57/x
  3. Step 3: Cross multiply
    848.92x = 1,272.92 × 478.57
  4. Step 4: Simplify right side
    848.92x = 609,181.32
  5. Step 5: Solve for x
    x = 609,181.32/848.92
  6. Step 6: Final answer
    x = 717.60

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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.