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Finding the Fourth Proportional to 685.88, 953.08 and 678.75

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Solution

The fourth proportional to 685.88, 953.08 and 678.75 is: 943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.88 : 953.08 = 678.75 : x
  2. Step 2: Convert to fraction form
    685.88/953.08 = 678.75/x
  3. Step 3: Cross multiply
    685.88x = 953.08 × 678.75
  4. Step 4: Simplify right side
    685.88x = 646,901.60
  5. Step 5: Solve for x
    x = 646,901.60/685.88
  6. Step 6: Final answer
    x = 943.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.