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Finding the Fourth Proportional to 646.28, 964.72 and 555.56

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Solution

The fourth proportional to 646.28, 964.72 and 555.56 is: 829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.28 : 964.72 = 555.56 : x
  2. Step 2: Convert to fraction form
    646.28/964.72 = 555.56/x
  3. Step 3: Cross multiply
    646.28x = 964.72 × 555.56
  4. Step 4: Simplify right side
    646.28x = 535,959.84
  5. Step 5: Solve for x
    x = 535,959.84/646.28
  6. Step 6: Final answer
    x = 829.30

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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.