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Finding the Fourth Proportional to 1,416.01, 2,123.10 and 491.50

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Solution

The fourth proportional to 1,416.01, 2,123.10 and 491.50 is: 736.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.01 : 2,123.10 = 491.50 : x
  2. Step 2: Convert to fraction form
    1,416.01/2,123.10 = 491.50/x
  3. Step 3: Cross multiply
    1,416.01x = 2,123.10 × 491.50
  4. Step 4: Simplify right side
    1,416.01x = 1,043,503.65
  5. Step 5: Solve for x
    x = 1,043,503.65/1,416.01
  6. Step 6: Final answer
    x = 736.93

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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.