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Finding the Fourth Proportional to 513.70, 770.47 and 167.04

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Solution

The fourth proportional to 513.70, 770.47 and 167.04 is: 250.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.70 : 770.47 = 167.04 : x
  2. Step 2: Convert to fraction form
    513.70/770.47 = 167.04/x
  3. Step 3: Cross multiply
    513.70x = 770.47 × 167.04
  4. Step 4: Simplify right side
    513.70x = 128,699.31
  5. Step 5: Solve for x
    x = 128,699.31/513.70
  6. Step 6: Final answer
    x = 250.53

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1.5x scale

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.