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Finding the Fourth Proportional to 594.09, 891.15 and 458.78

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Solution

The fourth proportional to 594.09, 891.15 and 458.78 is: 688.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.09 : 891.15 = 458.78 : x
  2. Step 2: Convert to fraction form
    594.09/891.15 = 458.78/x
  3. Step 3: Cross multiply
    594.09x = 891.15 × 458.78
  4. Step 4: Simplify right side
    594.09x = 408,844.02
  5. Step 5: Solve for x
    x = 408,844.02/594.09
  6. Step 6: Final answer
    x = 688.19

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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.