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Finding the Fourth Proportional to 455.76, 679.86 and 407.16

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Solution

The fourth proportional to 455.76, 679.86 and 407.16 is: 607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.76 : 679.86 = 407.16 : x
  2. Step 2: Convert to fraction form
    455.76/679.86 = 407.16/x
  3. Step 3: Cross multiply
    455.76x = 679.86 × 407.16
  4. Step 4: Simplify right side
    455.76x = 276,811.80
  5. Step 5: Solve for x
    x = 276,811.80/455.76
  6. Step 6: Final answer
    x = 607.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.