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Finding the Fourth Proportional to 1,586.62, 2,378.64 and 612.16

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Solution

The fourth proportional to 1,586.62, 2,378.64 and 612.16 is: 917.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.62 : 2,378.64 = 612.16 : x
  2. Step 2: Convert to fraction form
    1,586.62/2,378.64 = 612.16/x
  3. Step 3: Cross multiply
    1,586.62x = 2,378.64 × 612.16
  4. Step 4: Simplify right side
    1,586.62x = 1,456,108.26
  5. Step 5: Solve for x
    x = 1,456,108.26/1,586.62
  6. Step 6: Final answer
    x = 917.74

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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.