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Finding the Fourth Proportional to 848.60, 1,272.90 and 459.80

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Solution

The fourth proportional to 848.60, 1,272.90 and 459.80 is: 689.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.60 : 1,272.90 = 459.80 : x
  2. Step 2: Convert to fraction form
    848.60/1,272.90 = 459.80/x
  3. Step 3: Cross multiply
    848.60x = 1,272.90 × 459.80
  4. Step 4: Simplify right side
    848.60x = 585,279.42
  5. Step 5: Solve for x
    x = 585,279.42/848.60
  6. Step 6: Final answer
    x = 689.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.