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Finding the Fourth Proportional to 848.29, 1,271.33 and 458.45

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Solution

The fourth proportional to 848.29, 1,271.33 and 458.45 is: 687.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.29 : 1,271.33 = 458.45 : x
  2. Step 2: Convert to fraction form
    848.29/1,271.33 = 458.45/x
  3. Step 3: Cross multiply
    848.29x = 1,271.33 × 458.45
  4. Step 4: Simplify right side
    848.29x = 582,845.56
  5. Step 5: Solve for x
    x = 582,845.56/848.29
  6. Step 6: Final answer
    x = 687.08

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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.