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Finding the Fourth Proportional to 602.28, 835.02 and 590.40

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Solution

The fourth proportional to 602.28, 835.02 and 590.40 is: 818.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.28 : 835.02 = 590.40 : x
  2. Step 2: Convert to fraction form
    602.28/835.02 = 590.40/x
  3. Step 3: Cross multiply
    602.28x = 835.02 × 590.40
  4. Step 4: Simplify right side
    602.28x = 492,995.81
  5. Step 5: Solve for x
    x = 492,995.81/602.28
  6. Step 6: Final answer
    x = 818.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.