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Finding the Fourth Proportional to 642.02, 958.00 and 602.84

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Solution

The fourth proportional to 642.02, 958.00 and 602.84 is: 899.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.02 : 958.00 = 602.84 : x
  2. Step 2: Convert to fraction form
    642.02/958.00 = 602.84/x
  3. Step 3: Cross multiply
    642.02x = 958.00 × 602.84
  4. Step 4: Simplify right side
    642.02x = 577,517.71
  5. Step 5: Solve for x
    x = 577,517.71/642.02
  6. Step 6: Final answer
    x = 899.53

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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.