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Finding the Fourth Proportional to 1,064.63, 1,596.49 and 414.91

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Solution

The fourth proportional to 1,064.63, 1,596.49 and 414.91 is: 622.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.63 : 1,596.49 = 414.91 : x
  2. Step 2: Convert to fraction form
    1,064.63/1,596.49 = 414.91/x
  3. Step 3: Cross multiply
    1,064.63x = 1,596.49 × 414.91
  4. Step 4: Simplify right side
    1,064.63x = 662,399.67
  5. Step 5: Solve for x
    x = 662,399.67/1,064.63
  6. Step 6: Final answer
    x = 622.19

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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.