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Finding the Fourth Proportional to 457.04, 686.34 and 407.72

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Solution

The fourth proportional to 457.04, 686.34 and 407.72 is: 612.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.04 : 686.34 = 407.72 : x
  2. Step 2: Convert to fraction form
    457.04/686.34 = 407.72/x
  3. Step 3: Cross multiply
    457.04x = 686.34 × 407.72
  4. Step 4: Simplify right side
    457.04x = 279,836.26
  5. Step 5: Solve for x
    x = 279,836.26/457.04
  6. Step 6: Final answer
    x = 612.28

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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.