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Finding the Fourth Proportional to 890.84, 1,336.68 and 458.30

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Solution

The fourth proportional to 890.84, 1,336.68 and 458.30 is: 687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.84 : 1,336.68 = 458.30 : x
  2. Step 2: Convert to fraction form
    890.84/1,336.68 = 458.30/x
  3. Step 3: Cross multiply
    890.84x = 1,336.68 × 458.30
  4. Step 4: Simplify right side
    890.84x = 612,593.76
  5. Step 5: Solve for x
    x = 612,593.76/890.84
  6. Step 6: Final answer
    x = 687.66

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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.