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Finding the Fourth Proportional to 754.09, 1,130.53 and 291.63

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Solution

The fourth proportional to 754.09, 1,130.53 and 291.63 is: 437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.09 : 1,130.53 = 291.63 : x
  2. Step 2: Convert to fraction form
    754.09/1,130.53 = 291.63/x
  3. Step 3: Cross multiply
    754.09x = 1,130.53 × 291.63
  4. Step 4: Simplify right side
    754.09x = 329,699.97
  5. Step 5: Solve for x
    x = 329,699.97/754.09
  6. Step 6: Final answer
    x = 437.21

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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.