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Finding the Fourth Proportional to 435.70, 652.47 and 413.02

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Solution

The fourth proportional to 435.70, 652.47 and 413.02 is: 618.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.70 : 652.47 = 413.02 : x
  2. Step 2: Convert to fraction form
    435.70/652.47 = 413.02/x
  3. Step 3: Cross multiply
    435.70x = 652.47 × 413.02
  4. Step 4: Simplify right side
    435.70x = 269,483.16
  5. Step 5: Solve for x
    x = 269,483.16/435.70
  6. Step 6: Final answer
    x = 618.51

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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.