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Finding the Fourth Proportional to 1,000.68, 1,501.32 and 605.80

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Solution

The fourth proportional to 1,000.68, 1,501.32 and 605.80 is: 908.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.68 : 1,501.32 = 605.80 : x
  2. Step 2: Convert to fraction form
    1,000.68/1,501.32 = 605.80/x
  3. Step 3: Cross multiply
    1,000.68x = 1,501.32 × 605.80
  4. Step 4: Simplify right side
    1,000.68x = 909,499.66
  5. Step 5: Solve for x
    x = 909,499.66/1,000.68
  6. Step 6: Final answer
    x = 908.88

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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.