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Finding the Fourth Proportional to 497.99, 748.68 and 407.34

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Solution

The fourth proportional to 497.99, 748.68 and 407.34 is: 612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.99 : 748.68 = 407.34 : x
  2. Step 2: Convert to fraction form
    497.99/748.68 = 407.34/x
  3. Step 3: Cross multiply
    497.99x = 748.68 × 407.34
  4. Step 4: Simplify right side
    497.99x = 304,967.31
  5. Step 5: Solve for x
    x = 304,967.31/497.99
  6. Step 6: Final answer
    x = 612.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.