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Finding the Fourth Proportional to 685.64, 946.13 and 386.89

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Solution

The fourth proportional to 685.64, 946.13 and 386.89 is: 533.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.64 : 946.13 = 386.89 : x
  2. Step 2: Convert to fraction form
    685.64/946.13 = 386.89/x
  3. Step 3: Cross multiply
    685.64x = 946.13 × 386.89
  4. Step 4: Simplify right side
    685.64x = 366,041.57
  5. Step 5: Solve for x
    x = 366,041.57/685.64
  6. Step 6: Final answer
    x = 533.87

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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.