Home / 648.24-971.67-278.25

Finding the Fourth Proportional to 648.24, 971.67 and 278.25

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Solution

The fourth proportional to 648.24, 971.67 and 278.25 is: 417.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.24 : 971.67 = 278.25 : x
  2. Step 2: Convert to fraction form
    648.24/971.67 = 278.25/x
  3. Step 3: Cross multiply
    648.24x = 971.67 × 278.25
  4. Step 4: Simplify right side
    648.24x = 270,367.18
  5. Step 5: Solve for x
    x = 270,367.18/648.24
  6. Step 6: Final answer
    x = 417.08

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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.