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Finding the Fourth Proportional to 848.16, 1,170.64 and 782.28

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Solution

The fourth proportional to 848.16, 1,170.64 and 782.28 is: 1,079.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.16 : 1,170.64 = 782.28 : x
  2. Step 2: Convert to fraction form
    848.16/1,170.64 = 782.28/x
  3. Step 3: Cross multiply
    848.16x = 1,170.64 × 782.28
  4. Step 4: Simplify right side
    848.16x = 915,768.26
  5. Step 5: Solve for x
    x = 915,768.26/848.16
  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.