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Finding the Fourth Proportional to 648.65, 894.29 and 480.07

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Solution

The fourth proportional to 648.65, 894.29 and 480.07 is: 661.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.65 : 894.29 = 480.07 : x
  2. Step 2: Convert to fraction form
    648.65/894.29 = 480.07/x
  3. Step 3: Cross multiply
    648.65x = 894.29 × 480.07
  4. Step 4: Simplify right side
    648.65x = 429,317.16
  5. Step 5: Solve for x
    x = 429,317.16/648.65
  6. Step 6: Final answer
    x = 661.86

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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.