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Finding the Fourth Proportional to 648.68, 894.69 and 412.67

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Solution

The fourth proportional to 648.68, 894.69 and 412.67 is: 569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.68 : 894.69 = 412.67 : x
  2. Step 2: Convert to fraction form
    648.68/894.69 = 412.67/x
  3. Step 3: Cross multiply
    648.68x = 894.69 × 412.67
  4. Step 4: Simplify right side
    648.68x = 369,210.69
  5. Step 5: Solve for x
    x = 369,210.69/648.68
  6. Step 6: Final answer
    x = 569.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.