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Finding the Fourth Proportional to 783.48, 1,173.54 and 493.50

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Solution

The fourth proportional to 783.48, 1,173.54 and 493.50 is: 739.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.48 : 1,173.54 = 493.50 : x
  2. Step 2: Convert to fraction form
    783.48/1,173.54 = 493.50/x
  3. Step 3: Cross multiply
    783.48x = 1,173.54 × 493.50
  4. Step 4: Simplify right side
    783.48x = 579,141.99
  5. Step 5: Solve for x
    x = 579,141.99/783.48
  6. Step 6: Final answer
    x = 739.19

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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.