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Finding the Fourth Proportional to 475.98, 710.09 and 453.30

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Solution

The fourth proportional to 475.98, 710.09 and 453.30 is: 676.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.98 : 710.09 = 453.30 : x
  2. Step 2: Convert to fraction form
    475.98/710.09 = 453.30/x
  3. Step 3: Cross multiply
    475.98x = 710.09 × 453.30
  4. Step 4: Simplify right side
    475.98x = 321,881.53
  5. Step 5: Solve for x
    x = 321,881.53/475.98
  6. Step 6: Final answer
    x = 676.25

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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.