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Finding the Fourth Proportional to 694.30, 957.63 and 472.81

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Solution

The fourth proportional to 694.30, 957.63 and 472.81 is: 652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.30 : 957.63 = 472.81 : x
  2. Step 2: Convert to fraction form
    694.30/957.63 = 472.81/x
  3. Step 3: Cross multiply
    694.30x = 957.63 × 472.81
  4. Step 4: Simplify right side
    694.30x = 452,777.04
  5. Step 5: Solve for x
    x = 452,777.04/694.30
  6. Step 6: Final answer
    x = 652.13

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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.