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Finding the Fourth Proportional to 998.17, 1,497.56 and 511.57

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Solution

The fourth proportional to 998.17, 1,497.56 and 511.57 is: 767.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.17 : 1,497.56 = 511.57 : x
  2. Step 2: Convert to fraction form
    998.17/1,497.56 = 511.57/x
  3. Step 3: Cross multiply
    998.17x = 1,497.56 × 511.57
  4. Step 4: Simplify right side
    998.17x = 766,106.77
  5. Step 5: Solve for x
    x = 766,106.77/998.17
  6. Step 6: Final answer
    x = 767.51

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Double scale
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1.5x scale

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.