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Finding the Fourth Proportional to 770.31, 1,156.08 and 405.31

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Solution

The fourth proportional to 770.31, 1,156.08 and 405.31 is: 608.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.31 : 1,156.08 = 405.31 : x
  2. Step 2: Convert to fraction form
    770.31/1,156.08 = 405.31/x
  3. Step 3: Cross multiply
    770.31x = 1,156.08 × 405.31
  4. Step 4: Simplify right side
    770.31x = 468,570.78
  5. Step 5: Solve for x
    x = 468,570.78/770.31
  6. Step 6: Final answer
    x = 608.29

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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.