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Finding the Fourth Proportional to 848.46, 1,170.83 and 494.39

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Solution

The fourth proportional to 848.46, 1,170.83 and 494.39 is: 682.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.46 : 1,170.83 = 494.39 : x
  2. Step 2: Convert to fraction form
    848.46/1,170.83 = 494.39/x
  3. Step 3: Cross multiply
    848.46x = 1,170.83 × 494.39
  4. Step 4: Simplify right side
    848.46x = 578,846.64
  5. Step 5: Solve for x
    x = 578,846.64/848.46
  6. Step 6: Final answer
    x = 682.23

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1.5x scale

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.