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Finding the Fourth Proportional to 642.56, 962.80 and 573.28

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Solution

The fourth proportional to 642.56, 962.80 and 573.28 is: 858.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.56 : 962.80 = 573.28 : x
  2. Step 2: Convert to fraction form
    642.56/962.80 = 573.28/x
  3. Step 3: Cross multiply
    642.56x = 962.80 × 573.28
  4. Step 4: Simplify right side
    642.56x = 551,953.98
  5. Step 5: Solve for x
    x = 551,953.98/642.56
  6. Step 6: Final answer
    x = 858.99

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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.