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Finding the Fourth Proportional to 998.50, 1,497.75 and 652.00

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Solution

The fourth proportional to 998.50, 1,497.75 and 652.00 is: 978.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.50 : 1,497.75 = 652.00 : x
  2. Step 2: Convert to fraction form
    998.50/1,497.75 = 652.00/x
  3. Step 3: Cross multiply
    998.50x = 1,497.75 × 652.00
  4. Step 4: Simplify right side
    998.50x = 976,534.20
  5. Step 5: Solve for x
    x = 976,534.20/998.50
  6. Step 6: Final answer
    x = 978.00

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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.