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Finding the Fourth Proportional to 1,416.53, 2,124.74 and 723.19

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Solution

The fourth proportional to 1,416.53, 2,124.74 and 723.19 is: 1,084.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.53 : 2,124.74 = 723.19 : x
  2. Step 2: Convert to fraction form
    1,416.53/2,124.74 = 723.19/x
  3. Step 3: Cross multiply
    1,416.53x = 2,124.74 × 723.19
  4. Step 4: Simplify right side
    1,416.53x = 1,536,590.72
  5. Step 5: Solve for x
    x = 1,536,590.72/1,416.53
  6. Step 6: Final answer
    x = 1,084.76

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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.