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Finding the Fourth Proportional to 914.31, 1,261.75 and 521.57

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Solution

The fourth proportional to 914.31, 1,261.75 and 521.57 is: 719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.31 : 1,261.75 = 521.57 : x
  2. Step 2: Convert to fraction form
    914.31/1,261.75 = 521.57/x
  3. Step 3: Cross multiply
    914.31x = 1,261.75 × 521.57
  4. Step 4: Simplify right side
    914.31x = 658,090.95
  5. Step 5: Solve for x
    x = 658,090.95/914.31
  6. Step 6: Final answer
    x = 719.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.