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Finding the Fourth Proportional to 578.64, 794.40 and 491.28

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Solution

The fourth proportional to 578.64, 794.40 and 491.28 is: 674.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.64 : 794.40 = 491.28 : x
  2. Step 2: Convert to fraction form
    578.64/794.40 = 491.28/x
  3. Step 3: Cross multiply
    578.64x = 794.40 × 491.28
  4. Step 4: Simplify right side
    578.64x = 390,272.83
  5. Step 5: Solve for x
    x = 390,272.83/578.64
  6. Step 6: Final answer
    x = 674.47

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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.