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Finding the Fourth Proportional to 1,020.95, 1,408.51 and 666.76

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Solution

The fourth proportional to 1,020.95, 1,408.51 and 666.76 is: 919.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.95 : 1,408.51 = 666.76 : x
  2. Step 2: Convert to fraction form
    1,020.95/1,408.51 = 666.76/x
  3. Step 3: Cross multiply
    1,020.95x = 1,408.51 × 666.76
  4. Step 4: Simplify right side
    1,020.95x = 939,138.22
  5. Step 5: Solve for x
    x = 939,138.22/1,020.95
  6. Step 6: Final answer
    x = 919.86

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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.