Home / 1,468.35-2,202.51-442.35

Finding the Fourth Proportional to 1,468.35, 2,202.51 and 442.35

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Solution

The fourth proportional to 1,468.35, 2,202.51 and 442.35 is: 663.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.35 : 2,202.51 = 442.35 : x
  2. Step 2: Convert to fraction form
    1,468.35/2,202.51 = 442.35/x
  3. Step 3: Cross multiply
    1,468.35x = 2,202.51 × 442.35
  4. Step 4: Simplify right side
    1,468.35x = 974,280.30
  5. Step 5: Solve for x
    x = 974,280.30/1,468.35
  6. Step 6: Final answer
    x = 663.52

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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.