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Finding the Fourth Proportional to 1,065.06, 1,597.65 and 415.74

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Solution

The fourth proportional to 1,065.06, 1,597.65 and 415.74 is: 623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.06 : 1,597.65 = 415.74 : x
  2. Step 2: Convert to fraction form
    1,065.06/1,597.65 = 415.74/x
  3. Step 3: Cross multiply
    1,065.06x = 1,597.65 × 415.74
  4. Step 4: Simplify right side
    1,065.06x = 664,207.01
  5. Step 5: Solve for x
    x = 664,207.01/1,065.06
  6. Step 6: Final answer
    x = 623.63

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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.