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Finding the Fourth Proportional to 642.24, 958.56 and 622.08

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Solution

The fourth proportional to 642.24, 958.56 and 622.08 is: 928.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.24 : 958.56 = 622.08 : x
  2. Step 2: Convert to fraction form
    642.24/958.56 = 622.08/x
  3. Step 3: Cross multiply
    642.24x = 958.56 × 622.08
  4. Step 4: Simplify right side
    642.24x = 596,301.00
  5. Step 5: Solve for x
    x = 596,301.00/642.24
  6. Step 6: Final answer
    x = 928.47

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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.