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Finding the Fourth Proportional to 1,023.82, 1,535.72 and 374.40

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Solution

The fourth proportional to 1,023.82, 1,535.72 and 374.40 is: 561.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.82 : 1,535.72 = 374.40 : x
  2. Step 2: Convert to fraction form
    1,023.82/1,535.72 = 374.40/x
  3. Step 3: Cross multiply
    1,023.82x = 1,535.72 × 374.40
  4. Step 4: Simplify right side
    1,023.82x = 574,973.57
  5. Step 5: Solve for x
    x = 574,973.57/1,023.82
  6. Step 6: Final answer
    x = 561.60

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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.