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Finding the Fourth Proportional to 693.75, 957.52 and 413.93

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Solution

The fourth proportional to 693.75, 957.52 and 413.93 is: 571.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.75 : 957.52 = 413.93 : x
  2. Step 2: Convert to fraction form
    693.75/957.52 = 413.93/x
  3. Step 3: Cross multiply
    693.75x = 957.52 × 413.93
  4. Step 4: Simplify right side
    693.75x = 396,346.25
  5. Step 5: Solve for x
    x = 396,346.25/693.75
  6. Step 6: Final answer
    x = 571.31

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1.5x scale

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.