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Finding the Fourth Proportional to 707.75, 1,062.24 and 275.21

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Solution

The fourth proportional to 707.75, 1,062.24 and 275.21 is: 413.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.75 : 1,062.24 = 275.21 : x
  2. Step 2: Convert to fraction form
    707.75/1,062.24 = 275.21/x
  3. Step 3: Cross multiply
    707.75x = 1,062.24 × 275.21
  4. Step 4: Simplify right side
    707.75x = 292,332.38
  5. Step 5: Solve for x
    x = 292,332.38/707.75
  6. Step 6: Final answer
    x = 413.05

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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.