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Finding the Fourth Proportional to 685.77, 946.29 and 488.94

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Solution

The fourth proportional to 685.77, 946.29 and 488.94 is: 674.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.77 : 946.29 = 488.94 : x
  2. Step 2: Convert to fraction form
    685.77/946.29 = 488.94/x
  3. Step 3: Cross multiply
    685.77x = 946.29 × 488.94
  4. Step 4: Simplify right side
    685.77x = 462,679.03
  5. Step 5: Solve for x
    x = 462,679.03/685.77
  6. Step 6: Final answer
    x = 674.69

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1.5x scale

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.