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Finding the Fourth Proportional to 675.84, 928.64 and 611.04

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Solution

The fourth proportional to 675.84, 928.64 and 611.04 is: 839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.84 : 928.64 = 611.04 : x
  2. Step 2: Convert to fraction form
    675.84/928.64 = 611.04/x
  3. Step 3: Cross multiply
    675.84x = 928.64 × 611.04
  4. Step 4: Simplify right side
    675.84x = 567,436.19
  5. Step 5: Solve for x
    x = 567,436.19/675.84
  6. Step 6: Final answer
    x = 839.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.