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Finding the Fourth Proportional to 999.34, 1,498.49 and 537.51

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Solution

The fourth proportional to 999.34, 1,498.49 and 537.51 is: 805.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.34 : 1,498.49 = 537.51 : x
  2. Step 2: Convert to fraction form
    999.34/1,498.49 = 537.51/x
  3. Step 3: Cross multiply
    999.34x = 1,498.49 × 537.51
  4. Step 4: Simplify right side
    999.34x = 805,449.08
  5. Step 5: Solve for x
    x = 805,449.08/999.34
  6. Step 6: Final answer
    x = 805.98

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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.