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Finding the Fourth Proportional to 612.84, 919.62 and 458.88

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Solution

The fourth proportional to 612.84, 919.62 and 458.88 is: 688.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.84 : 919.62 = 458.88 : x
  2. Step 2: Convert to fraction form
    612.84/919.62 = 458.88/x
  3. Step 3: Cross multiply
    612.84x = 919.62 × 458.88
  4. Step 4: Simplify right side
    612.84x = 421,995.23
  5. Step 5: Solve for x
    x = 421,995.23/612.84
  6. Step 6: Final answer
    x = 688.59

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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.