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Finding the Fourth Proportional to 671.95, 1,007.52 and 307.05

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Solution

The fourth proportional to 671.95, 1,007.52 and 307.05 is: 460.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.95 : 1,007.52 = 307.05 : x
  2. Step 2: Convert to fraction form
    671.95/1,007.52 = 307.05/x
  3. Step 3: Cross multiply
    671.95x = 1,007.52 × 307.05
  4. Step 4: Simplify right side
    671.95x = 309,359.02
  5. Step 5: Solve for x
    x = 309,359.02/671.95
  6. Step 6: Final answer
    x = 460.39

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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.