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Finding the Fourth Proportional to 452.19, 678.65 and 420.51

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Solution

The fourth proportional to 452.19, 678.65 and 420.51 is: 631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.19 : 678.65 = 420.51 : x
  2. Step 2: Convert to fraction form
    452.19/678.65 = 420.51/x
  3. Step 3: Cross multiply
    452.19x = 678.65 × 420.51
  4. Step 4: Simplify right side
    452.19x = 285,377.01
  5. Step 5: Solve for x
    x = 285,377.01/452.19
  6. Step 6: Final answer
    x = 631.10

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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.