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Finding the Fourth Proportional to 848.63, 1,171.25 and 499.25

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Solution

The fourth proportional to 848.63, 1,171.25 and 499.25 is: 689.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.63 : 1,171.25 = 499.25 : x
  2. Step 2: Convert to fraction form
    848.63/1,171.25 = 499.25/x
  3. Step 3: Cross multiply
    848.63x = 1,171.25 × 499.25
  4. Step 4: Simplify right side
    848.63x = 584,738.21
  5. Step 5: Solve for x
    x = 584,738.21/848.63
  6. Step 6: Final answer
    x = 689.04

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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.