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Finding the Fourth Proportional to 685.32, 945.24 and 448.98

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Solution

The fourth proportional to 685.32, 945.24 and 448.98 is: 619.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.32 : 945.24 = 448.98 : x
  2. Step 2: Convert to fraction form
    685.32/945.24 = 448.98/x
  3. Step 3: Cross multiply
    685.32x = 945.24 × 448.98
  4. Step 4: Simplify right side
    685.32x = 424,393.86
  5. Step 5: Solve for x
    x = 424,393.86/685.32
  6. Step 6: Final answer
    x = 619.26

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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.