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Finding the Fourth Proportional to 612.14, 919.12 and 590.87

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Solution

The fourth proportional to 612.14, 919.12 and 590.87 is: 887.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.14 : 919.12 = 590.87 : x
  2. Step 2: Convert to fraction form
    612.14/919.12 = 590.87/x
  3. Step 3: Cross multiply
    612.14x = 919.12 × 590.87
  4. Step 4: Simplify right side
    612.14x = 543,081.26
  5. Step 5: Solve for x
    x = 543,081.26/612.14
  6. Step 6: Final answer
    x = 887.19

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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.