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Finding the Fourth Proportional to 848.78, 1,170.97 and 494.64

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Solution

The fourth proportional to 848.78, 1,170.97 and 494.64 is: 682.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.78 : 1,170.97 = 494.64 : x
  2. Step 2: Convert to fraction form
    848.78/1,170.97 = 494.64/x
  3. Step 3: Cross multiply
    848.78x = 1,170.97 × 494.64
  4. Step 4: Simplify right side
    848.78x = 579,206.13
  5. Step 5: Solve for x
    x = 579,206.13/848.78
  6. Step 6: Final answer
    x = 682.40

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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.