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Finding the Fourth Proportional to 642.51, 964.40 and 277.43

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Solution

The fourth proportional to 642.51, 964.40 and 277.43 is: 416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.51 : 964.40 = 277.43 : x
  2. Step 2: Convert to fraction form
    642.51/964.40 = 277.43/x
  3. Step 3: Cross multiply
    642.51x = 964.40 × 277.43
  4. Step 4: Simplify right side
    642.51x = 267,547.28
  5. Step 5: Solve for x
    x = 267,547.28/642.51
  6. Step 6: Final answer
    x = 416.41

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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.