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Finding the Fourth Proportional to 622.07, 931.10 and 413.35

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Solution

The fourth proportional to 622.07, 931.10 and 413.35 is: 618.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.07 : 931.10 = 413.35 : x
  2. Step 2: Convert to fraction form
    622.07/931.10 = 413.35/x
  3. Step 3: Cross multiply
    622.07x = 931.10 × 413.35
  4. Step 4: Simplify right side
    622.07x = 384,871.22
  5. Step 5: Solve for x
    x = 384,871.22/622.07
  6. Step 6: Final answer
    x = 618.70

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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.