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Finding the Fourth Proportional to 956.90, 1,435.41 and 307.68

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Solution

The fourth proportional to 956.90, 1,435.41 and 307.68 is: 461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.90 : 1,435.41 = 307.68 : x
  2. Step 2: Convert to fraction form
    956.90/1,435.41 = 307.68/x
  3. Step 3: Cross multiply
    956.90x = 1,435.41 × 307.68
  4. Step 4: Simplify right side
    956.90x = 441,646.95
  5. Step 5: Solve for x
    x = 441,646.95/956.90
  6. Step 6: Final answer
    x = 461.54

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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.