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Finding the Fourth Proportional to 670.49, 1,000.74 and 654.09

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Solution

The fourth proportional to 670.49, 1,000.74 and 654.09 is: 976.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.49 : 1,000.74 = 654.09 : x
  2. Step 2: Convert to fraction form
    670.49/1,000.74 = 654.09/x
  3. Step 3: Cross multiply
    670.49x = 1,000.74 × 654.09
  4. Step 4: Simplify right side
    670.49x = 654,574.03
  5. Step 5: Solve for x
    x = 654,574.03/670.49
  6. Step 6: Final answer
    x = 976.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.