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Finding the Fourth Proportional to 848.57, 1,273.40 and 841.63

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Solution

The fourth proportional to 848.57, 1,273.40 and 841.63 is: 1,262.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.57 : 1,273.40 = 841.63 : x
  2. Step 2: Convert to fraction form
    848.57/1,273.40 = 841.63/x
  3. Step 3: Cross multiply
    848.57x = 1,273.40 × 841.63
  4. Step 4: Simplify right side
    848.57x = 1,071,721.07
  5. Step 5: Solve for x
    x = 1,071,721.07/848.57
  6. Step 6: Final answer
    x = 1,262.97

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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.