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Finding the Fourth Proportional to 648.65, 895.78 and 413.04

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Solution

The fourth proportional to 648.65, 895.78 and 413.04 is: 570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.65 : 895.78 = 413.04 : x
  2. Step 2: Convert to fraction form
    648.65/895.78 = 413.04/x
  3. Step 3: Cross multiply
    648.65x = 895.78 × 413.04
  4. Step 4: Simplify right side
    648.65x = 369,992.97
  5. Step 5: Solve for x
    x = 369,992.97/648.65
  6. Step 6: Final answer
    x = 570.40

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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.