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Finding the Fourth Proportional to 450.52, 624.58 and 427.10

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Solution

The fourth proportional to 450.52, 624.58 and 427.10 is: 592.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.52 : 624.58 = 427.10 : x
  2. Step 2: Convert to fraction form
    450.52/624.58 = 427.10/x
  3. Step 3: Cross multiply
    450.52x = 624.58 × 427.10
  4. Step 4: Simplify right side
    450.52x = 266,758.12
  5. Step 5: Solve for x
    x = 266,758.12/450.52
  6. Step 6: Final answer
    x = 592.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.