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Finding the Fourth Proportional to 719.30, 992.10 and 457.08

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Solution

The fourth proportional to 719.30, 992.10 and 457.08 is: 630.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.30 : 992.10 = 457.08 : x
  2. Step 2: Convert to fraction form
    719.30/992.10 = 457.08/x
  3. Step 3: Cross multiply
    719.30x = 992.10 × 457.08
  4. Step 4: Simplify right side
    719.30x = 453,469.07
  5. Step 5: Solve for x
    x = 453,469.07/719.30
  6. Step 6: Final answer
    x = 630.43

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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.