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Finding the Fourth Proportional to 694.54, 956.93 and 458.07

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Solution

The fourth proportional to 694.54, 956.93 and 458.07 is: 631.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.54 : 956.93 = 458.07 : x
  2. Step 2: Convert to fraction form
    694.54/956.93 = 458.07/x
  3. Step 3: Cross multiply
    694.54x = 956.93 × 458.07
  4. Step 4: Simplify right side
    694.54x = 438,339.06
  5. Step 5: Solve for x
    x = 438,339.06/694.54
  6. Step 6: Final answer
    x = 631.12

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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.