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Finding the Fourth Proportional to 848, 1,170.36 and 511.80

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Solution

The fourth proportional to 848, 1,170.36 and 511.80 is: 706.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    848 : 1,170.36 = 511.80 : x
  2. Step 2: Convert to fraction form
    848/1,170.36 = 511.80/x
  3. Step 3: Cross multiply
    848x = 1,170.36 × 511.80
  4. Step 4: Simplify right side
    848x = 598,990.25
  5. Step 5: Solve for x
    x = 598,990.25/848
  6. Step 6: Final answer
    x = 706.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.