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Finding the Fourth Proportional to 719.07, 992.34 and 456.94

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Solution

The fourth proportional to 719.07, 992.34 and 456.94 is: 630.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.07 : 992.34 = 456.94 : x
  2. Step 2: Convert to fraction form
    719.07/992.34 = 456.94/x
  3. Step 3: Cross multiply
    719.07x = 992.34 × 456.94
  4. Step 4: Simplify right side
    719.07x = 453,437.36
  5. Step 5: Solve for x
    x = 453,437.36/719.07
  6. Step 6: Final answer
    x = 630.59

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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.