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Finding the Fourth Proportional to 671.02, 1,000.93 and 650.50

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Solution

The fourth proportional to 671.02, 1,000.93 and 650.50 is: 970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.02 : 1,000.93 = 650.50 : x
  2. Step 2: Convert to fraction form
    671.02/1,000.93 = 650.50/x
  3. Step 3: Cross multiply
    671.02x = 1,000.93 × 650.50
  4. Step 4: Simplify right side
    671.02x = 651,104.97
  5. Step 5: Solve for x
    x = 651,104.97/671.02
  6. Step 6: Final answer
    x = 970.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.