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Finding the Fourth Proportional to 455.28, 624.84 and 407.58

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Solution

The fourth proportional to 455.28, 624.84 and 407.58 is: 559.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.28 : 624.84 = 407.58 : x
  2. Step 2: Convert to fraction form
    455.28/624.84 = 407.58/x
  3. Step 3: Cross multiply
    455.28x = 624.84 × 407.58
  4. Step 4: Simplify right side
    455.28x = 254,672.29
  5. Step 5: Solve for x
    x = 254,672.29/455.28
  6. Step 6: Final answer
    x = 559.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.