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Finding the Fourth Proportional to 685.76, 945.40 and 483.52

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Solution

The fourth proportional to 685.76, 945.40 and 483.52 is: 666.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.76 : 945.40 = 483.52 : x
  2. Step 2: Convert to fraction form
    685.76/945.40 = 483.52/x
  3. Step 3: Cross multiply
    685.76x = 945.40 × 483.52
  4. Step 4: Simplify right side
    685.76x = 457,119.81
  5. Step 5: Solve for x
    x = 457,119.81/685.76
  6. Step 6: Final answer
    x = 666.59

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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.