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Finding the Fourth Proportional to 848.81, 1,171.37 and 494.98

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Solution

The fourth proportional to 848.81, 1,171.37 and 494.98 is: 683.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.81 : 1,171.37 = 494.98 : x
  2. Step 2: Convert to fraction form
    848.81/1,171.37 = 494.98/x
  3. Step 3: Cross multiply
    848.81x = 1,171.37 × 494.98
  4. Step 4: Simplify right side
    848.81x = 579,802.02
  5. Step 5: Solve for x
    x = 579,802.02/848.81
  6. Step 6: Final answer
    x = 683.07

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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.