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Finding the Fourth Proportional to 848.74, 1,271.49 and 574.36

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Solution

The fourth proportional to 848.74, 1,271.49 and 574.36 is: 860.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.74 : 1,271.49 = 574.36 : x
  2. Step 2: Convert to fraction form
    848.74/1,271.49 = 574.36/x
  3. Step 3: Cross multiply
    848.74x = 1,271.49 × 574.36
  4. Step 4: Simplify right side
    848.74x = 730,293.00
  5. Step 5: Solve for x
    x = 730,293.00/848.74
  6. Step 6: Final answer
    x = 860.44

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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.