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Finding the Fourth Proportional to 1,064.67, 1,596.38 and 414.65

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Solution

The fourth proportional to 1,064.67, 1,596.38 and 414.65 is: 621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.67 : 1,596.38 = 414.65 : x
  2. Step 2: Convert to fraction form
    1,064.67/1,596.38 = 414.65/x
  3. Step 3: Cross multiply
    1,064.67x = 1,596.38 × 414.65
  4. Step 4: Simplify right side
    1,064.67x = 661,928.91
  5. Step 5: Solve for x
    x = 661,928.91/1,064.67
  6. Step 6: Final answer
    x = 621.72

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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.