Home / 1,064.20-1,595.58-414.60

Finding the Fourth Proportional to 1,064.20, 1,595.58 and 414.60

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Solution

The fourth proportional to 1,064.20, 1,595.58 and 414.60 is: 621.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.20 : 1,595.58 = 414.60 : x
  2. Step 2: Convert to fraction form
    1,064.20/1,595.58 = 414.60/x
  3. Step 3: Cross multiply
    1,064.20x = 1,595.58 × 414.60
  4. Step 4: Simplify right side
    1,064.20x = 661,527.47
  5. Step 5: Solve for x
    x = 661,527.47/1,064.20
  6. Step 6: Final answer
    x = 621.62

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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.