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Finding the Fourth Proportional to 753.99, 1,130.17 and 493.17

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Solution

The fourth proportional to 753.99, 1,130.17 and 493.17 is: 739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.99 : 1,130.17 = 493.17 : x
  2. Step 2: Convert to fraction form
    753.99/1,130.17 = 493.17/x
  3. Step 3: Cross multiply
    753.99x = 1,130.17 × 493.17
  4. Step 4: Simplify right side
    753.99x = 557,357.82
  5. Step 5: Solve for x
    x = 557,357.82/753.99
  6. Step 6: Final answer
    x = 739.22

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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.