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Finding the Fourth Proportional to 770.34, 1,155.52 and 257.34

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Solution

The fourth proportional to 770.34, 1,155.52 and 257.34 is: 386.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.34 : 1,155.52 = 257.34 : x
  2. Step 2: Convert to fraction form
    770.34/1,155.52 = 257.34/x
  3. Step 3: Cross multiply
    770.34x = 1,155.52 × 257.34
  4. Step 4: Simplify right side
    770.34x = 297,364.72
  5. Step 5: Solve for x
    x = 297,364.72/770.34
  6. Step 6: Final answer
    x = 386.02

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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.