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Finding the Fourth Proportional to 642.48, 957.09 and 602.64

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Solution

The fourth proportional to 642.48, 957.09 and 602.64 is: 897.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.48 : 957.09 = 602.64 : x
  2. Step 2: Convert to fraction form
    642.48/957.09 = 602.64/x
  3. Step 3: Cross multiply
    642.48x = 957.09 × 602.64
  4. Step 4: Simplify right side
    642.48x = 576,780.72
  5. Step 5: Solve for x
    x = 576,780.72/642.48
  6. Step 6: Final answer
    x = 897.74

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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.