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Finding the Fourth Proportional to 770.65, 1,155.81 and 308.35

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Solution

The fourth proportional to 770.65, 1,155.81 and 308.35 is: 462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.65 : 1,155.81 = 308.35 : x
  2. Step 2: Convert to fraction form
    770.65/1,155.81 = 308.35/x
  3. Step 3: Cross multiply
    770.65x = 1,155.81 × 308.35
  4. Step 4: Simplify right side
    770.65x = 356,394.01
  5. Step 5: Solve for x
    x = 356,394.01/770.65
  6. Step 6: Final answer
    x = 462.46

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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.