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Finding the Fourth Proportional to 1,020.71, 1,408.07 and 666.47

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Solution

The fourth proportional to 1,020.71, 1,408.07 and 666.47 is: 919.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.71 : 1,408.07 = 666.47 : x
  2. Step 2: Convert to fraction form
    1,020.71/1,408.07 = 666.47/x
  3. Step 3: Cross multiply
    1,020.71x = 1,408.07 × 666.47
  4. Step 4: Simplify right side
    1,020.71x = 938,431.04
  5. Step 5: Solve for x
    x = 938,431.04/1,020.71
  6. Step 6: Final answer
    x = 919.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.