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Finding the Fourth Proportional to 671.95, 1,007.89 and 535.82

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Solution

The fourth proportional to 671.95, 1,007.89 and 535.82 is: 803.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.95 : 1,007.89 = 535.82 : x
  2. Step 2: Convert to fraction form
    671.95/1,007.89 = 535.82/x
  3. Step 3: Cross multiply
    671.95x = 1,007.89 × 535.82
  4. Step 4: Simplify right side
    671.95x = 540,044.25
  5. Step 5: Solve for x
    x = 540,044.25/671.95
  6. Step 6: Final answer
    x = 803.70

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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.