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Finding the Fourth Proportional to 848.01, 1,271.21 and 538.91

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Solution

The fourth proportional to 848.01, 1,271.21 and 538.91 is: 807.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.01 : 1,271.21 = 538.91 : x
  2. Step 2: Convert to fraction form
    848.01/1,271.21 = 538.91/x
  3. Step 3: Cross multiply
    848.01x = 1,271.21 × 538.91
  4. Step 4: Simplify right side
    848.01x = 685,058.73
  5. Step 5: Solve for x
    x = 685,058.73/848.01
  6. Step 6: Final answer
    x = 807.84

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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.