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Finding the Fourth Proportional to 1,668.93, 2,503.80 and 498.88

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Solution

The fourth proportional to 1,668.93, 2,503.80 and 498.88 is: 748.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.93 : 2,503.80 = 498.88 : x
  2. Step 2: Convert to fraction form
    1,668.93/2,503.80 = 498.88/x
  3. Step 3: Cross multiply
    1,668.93x = 2,503.80 × 498.88
  4. Step 4: Simplify right side
    1,668.93x = 1,249,095.74
  5. Step 5: Solve for x
    x = 1,249,095.74/1,668.93
  6. Step 6: Final answer
    x = 748.44

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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.