Home / 1,023.46-1,535.35-407.16

Finding the Fourth Proportional to 1,023.46, 1,535.35 and 407.16

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Solution

The fourth proportional to 1,023.46, 1,535.35 and 407.16 is: 610.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.46 : 1,535.35 = 407.16 : x
  2. Step 2: Convert to fraction form
    1,023.46/1,535.35 = 407.16/x
  3. Step 3: Cross multiply
    1,023.46x = 1,535.35 × 407.16
  4. Step 4: Simplify right side
    1,023.46x = 625,132.09
  5. Step 5: Solve for x
    x = 625,132.09/1,023.46
  6. Step 6: Final answer
    x = 610.80

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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.