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Finding the Fourth Proportional to 656.54, 980.35 and 578.88

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Solution

The fourth proportional to 656.54, 980.35 and 578.88 is: 864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.54 : 980.35 = 578.88 : x
  2. Step 2: Convert to fraction form
    656.54/980.35 = 578.88/x
  3. Step 3: Cross multiply
    656.54x = 980.35 × 578.88
  4. Step 4: Simplify right side
    656.54x = 567,505.01
  5. Step 5: Solve for x
    x = 567,505.01/656.54
  6. Step 6: Final answer
    x = 864.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.