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Finding the Fourth Proportional to 647.07, 969.93 and 300.31

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Solution

The fourth proportional to 647.07, 969.93 and 300.31 is: 450.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.07 : 969.93 = 300.31 : x
  2. Step 2: Convert to fraction form
    647.07/969.93 = 300.31/x
  3. Step 3: Cross multiply
    647.07x = 969.93 × 300.31
  4. Step 4: Simplify right side
    647.07x = 291,275.27
  5. Step 5: Solve for x
    x = 291,275.27/647.07
  6. Step 6: Final answer
    x = 450.15

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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.