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Finding the Fourth Proportional to 685.74, 946.43 and 423.77

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Solution

The fourth proportional to 685.74, 946.43 and 423.77 is: 584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.74 : 946.43 = 423.77 : x
  2. Step 2: Convert to fraction form
    685.74/946.43 = 423.77/x
  3. Step 3: Cross multiply
    685.74x = 946.43 × 423.77
  4. Step 4: Simplify right side
    685.74x = 401,068.64
  5. Step 5: Solve for x
    x = 401,068.64/685.74
  6. Step 6: Final answer
    x = 584.87

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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.