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Finding the Fourth Proportional to 1,068.94, 1,604.32 and 420.13

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Solution

The fourth proportional to 1,068.94, 1,604.32 and 420.13 is: 630.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.94 : 1,604.32 = 420.13 : x
  2. Step 2: Convert to fraction form
    1,068.94/1,604.32 = 420.13/x
  3. Step 3: Cross multiply
    1,068.94x = 1,604.32 × 420.13
  4. Step 4: Simplify right side
    1,068.94x = 674,022.96
  5. Step 5: Solve for x
    x = 674,022.96/1,068.94
  6. Step 6: Final answer
    x = 630.55

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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.