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Finding the Fourth Proportional to 451.34, 623.34 and 402.13

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Solution

The fourth proportional to 451.34, 623.34 and 402.13 is: 555.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.34 : 623.34 = 402.13 : x
  2. Step 2: Convert to fraction form
    451.34/623.34 = 402.13/x
  3. Step 3: Cross multiply
    451.34x = 623.34 × 402.13
  4. Step 4: Simplify right side
    451.34x = 250,663.71
  5. Step 5: Solve for x
    x = 250,663.71/451.34
  6. Step 6: Final answer
    x = 555.38

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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.