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Finding the Fourth Proportional to 1,416.45, 2,123.47 and 538.46

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Solution

The fourth proportional to 1,416.45, 2,123.47 and 538.46 is: 807.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.45 : 2,123.47 = 538.46 : x
  2. Step 2: Convert to fraction form
    1,416.45/2,123.47 = 538.46/x
  3. Step 3: Cross multiply
    1,416.45x = 2,123.47 × 538.46
  4. Step 4: Simplify right side
    1,416.45x = 1,143,403.66
  5. Step 5: Solve for x
    x = 1,143,403.66/1,416.45
  6. Step 6: Final answer
    x = 807.23

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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.