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Finding the Fourth Proportional to 848.18, 1,170.64 and 782.30

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Solution

The fourth proportional to 848.18, 1,170.64 and 782.30 is: 1,079.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.18 : 1,170.64 = 782.30 : x
  2. Step 2: Convert to fraction form
    848.18/1,170.64 = 782.30/x
  3. Step 3: Cross multiply
    848.18x = 1,170.64 × 782.30
  4. Step 4: Simplify right side
    848.18x = 915,791.67
  5. Step 5: Solve for x
    x = 915,791.67/848.18
  6. Step 6: Final answer
    x = 1,079.71

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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.