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Finding the Fourth Proportional to 1,611.98, 2,417.98 and 457.73

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Solution

The fourth proportional to 1,611.98, 2,417.98 and 457.73 is: 686.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.98 : 2,417.98 = 457.73 : x
  2. Step 2: Convert to fraction form
    1,611.98/2,417.98 = 457.73/x
  3. Step 3: Cross multiply
    1,611.98x = 2,417.98 × 457.73
  4. Step 4: Simplify right side
    1,611.98x = 1,106,792.28
  5. Step 5: Solve for x
    x = 1,106,792.28/1,611.98
  6. Step 6: Final answer
    x = 686.60

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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.