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Finding the Fourth Proportional to 515.47, 770.90 and 458.05

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Solution

The fourth proportional to 515.47, 770.90 and 458.05 is: 685.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.47 : 770.90 = 458.05 : x
  2. Step 2: Convert to fraction form
    515.47/770.90 = 458.05/x
  3. Step 3: Cross multiply
    515.47x = 770.90 × 458.05
  4. Step 4: Simplify right side
    515.47x = 353,110.75
  5. Step 5: Solve for x
    x = 353,110.75/515.47
  6. Step 6: Final answer
    x = 685.03

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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.