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Finding the Fourth Proportional to 694.37, 957.80 and 473.70

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Solution

The fourth proportional to 694.37, 957.80 and 473.70 is: 653.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.37 : 957.80 = 473.70 : x
  2. Step 2: Convert to fraction form
    694.37/957.80 = 473.70/x
  3. Step 3: Cross multiply
    694.37x = 957.80 × 473.70
  4. Step 4: Simplify right side
    694.37x = 453,707.92
  5. Step 5: Solve for x
    x = 453,707.92/694.37
  6. Step 6: Final answer
    x = 653.41

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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.