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Finding the Fourth Proportional to 998.83, 1,497.89 and 340.58

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Solution

The fourth proportional to 998.83, 1,497.89 and 340.58 is: 510.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.83 : 1,497.89 = 340.58 : x
  2. Step 2: Convert to fraction form
    998.83/1,497.89 = 340.58/x
  3. Step 3: Cross multiply
    998.83x = 1,497.89 × 340.58
  4. Step 4: Simplify right side
    998.83x = 510,151.76
  5. Step 5: Solve for x
    x = 510,151.76/998.83
  6. Step 6: Final answer
    x = 510.75

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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.