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Finding the Fourth Proportional to 694.30, 957.70 and 458.26

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Solution

The fourth proportional to 694.30, 957.70 and 458.26 is: 632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.30 : 957.70 = 458.26 : x
  2. Step 2: Convert to fraction form
    694.30/957.70 = 458.26/x
  3. Step 3: Cross multiply
    694.30x = 957.70 × 458.26
  4. Step 4: Simplify right side
    694.30x = 438,875.60
  5. Step 5: Solve for x
    x = 438,875.60/694.30
  6. Step 6: Final answer
    x = 632.11

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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.