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Finding the Fourth Proportional to 770.42, 1,155.54 and 257.42

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Solution

The fourth proportional to 770.42, 1,155.54 and 257.42 is: 386.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.42 : 1,155.54 = 257.42 : x
  2. Step 2: Convert to fraction form
    770.42/1,155.54 = 257.42/x
  3. Step 3: Cross multiply
    770.42x = 1,155.54 × 257.42
  4. Step 4: Simplify right side
    770.42x = 297,459.11
  5. Step 5: Solve for x
    x = 297,459.11/770.42
  6. Step 6: Final answer
    x = 386.10

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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.