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Finding the Fourth Proportional to 783.02, 1,174.89 and 398.54

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Solution

The fourth proportional to 783.02, 1,174.89 and 398.54 is: 597.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.02 : 1,174.89 = 398.54 : x
  2. Step 2: Convert to fraction form
    783.02/1,174.89 = 398.54/x
  3. Step 3: Cross multiply
    783.02x = 1,174.89 × 398.54
  4. Step 4: Simplify right side
    783.02x = 468,240.66
  5. Step 5: Solve for x
    x = 468,240.66/783.02
  6. Step 6: Final answer
    x = 597.99

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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.