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Finding the Fourth Proportional to 456.18, 628.93 and 420.98

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Solution

The fourth proportional to 456.18, 628.93 and 420.98 is: 580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.18 : 628.93 = 420.98 : x
  2. Step 2: Convert to fraction form
    456.18/628.93 = 420.98/x
  3. Step 3: Cross multiply
    456.18x = 628.93 × 420.98
  4. Step 4: Simplify right side
    456.18x = 264,767.87
  5. Step 5: Solve for x
    x = 264,767.87/456.18
  6. Step 6: Final answer
    x = 580.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.