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Finding the Fourth Proportional to 453, 678.80 and 407.10

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Solution

The fourth proportional to 453, 678.80 and 407.10 is: 610.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    453 : 678.80 = 407.10 : x
  2. Step 2: Convert to fraction form
    453/678.80 = 407.10/x
  3. Step 3: Cross multiply
    453x = 678.80 × 407.10
  4. Step 4: Simplify right side
    453x = 276,339.48
  5. Step 5: Solve for x
    x = 276,339.48/453
  6. Step 6: Final answer
    x = 610.02

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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.