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Finding the Fourth Proportional to 651.39, 970.82 and 650.39

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Solution

The fourth proportional to 651.39, 970.82 and 650.39 is: 969.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.39 : 970.82 = 650.39 : x
  2. Step 2: Convert to fraction form
    651.39/970.82 = 650.39/x
  3. Step 3: Cross multiply
    651.39x = 970.82 × 650.39
  4. Step 4: Simplify right side
    651.39x = 631,403.51
  5. Step 5: Solve for x
    x = 631,403.51/651.39
  6. Step 6: Final answer
    x = 969.32

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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.