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Finding the Fourth Proportional to 783.48, 1,175.61 and 553.85

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Solution

The fourth proportional to 783.48, 1,175.61 and 553.85 is: 831.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.48 : 1,175.61 = 553.85 : x
  2. Step 2: Convert to fraction form
    783.48/1,175.61 = 553.85/x
  3. Step 3: Cross multiply
    783.48x = 1,175.61 × 553.85
  4. Step 4: Simplify right side
    783.48x = 651,104.23
  5. Step 5: Solve for x
    x = 651,104.23/783.48
  6. Step 6: Final answer
    x = 831.04

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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.