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Finding the Fourth Proportional to 469.19, 700.35 and 413.77

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Solution

The fourth proportional to 469.19, 700.35 and 413.77 is: 617.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.19 : 700.35 = 413.77 : x
  2. Step 2: Convert to fraction form
    469.19/700.35 = 413.77/x
  3. Step 3: Cross multiply
    469.19x = 700.35 × 413.77
  4. Step 4: Simplify right side
    469.19x = 289,787.50
  5. Step 5: Solve for x
    x = 289,787.50/469.19
  6. Step 6: Final answer
    x = 617.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.