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Finding the Fourth Proportional to 1,639.18, 2,458.21 and 468.87

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Solution

The fourth proportional to 1,639.18, 2,458.21 and 468.87 is: 703.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.18 : 2,458.21 = 468.87 : x
  2. Step 2: Convert to fraction form
    1,639.18/2,458.21 = 468.87/x
  3. Step 3: Cross multiply
    1,639.18x = 2,458.21 × 468.87
  4. Step 4: Simplify right side
    1,639.18x = 1,152,581.34
  5. Step 5: Solve for x
    x = 1,152,581.34/1,639.18
  6. Step 6: Final answer
    x = 703.14

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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.