Home / 1,023.60-1,535.34-407.79

Finding the Fourth Proportional to 1,023.60, 1,535.34 and 407.79

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Solution

The fourth proportional to 1,023.60, 1,535.34 and 407.79 is: 611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.60 : 1,535.34 = 407.79 : x
  2. Step 2: Convert to fraction form
    1,023.60/1,535.34 = 407.79/x
  3. Step 3: Cross multiply
    1,023.60x = 1,535.34 × 407.79
  4. Step 4: Simplify right side
    1,023.60x = 626,096.30
  5. Step 5: Solve for x
    x = 626,096.30/1,023.60
  6. Step 6: Final answer
    x = 611.66

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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.