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Finding the Fourth Proportional to 1,416.51, 2,124.54 and 723.69

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Solution

The fourth proportional to 1,416.51, 2,124.54 and 723.69 is: 1,085.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.51 : 2,124.54 = 723.69 : x
  2. Step 2: Convert to fraction form
    1,416.51/2,124.54 = 723.69/x
  3. Step 3: Cross multiply
    1,416.51x = 2,124.54 × 723.69
  4. Step 4: Simplify right side
    1,416.51x = 1,537,503.04
  5. Step 5: Solve for x
    x = 1,537,503.04/1,416.51
  6. Step 6: Final answer
    x = 1,085.42

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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.