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Finding the Fourth Proportional to 586.50, 880.02 and 343.04

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Solution

The fourth proportional to 586.50, 880.02 and 343.04 is: 514.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.50 : 880.02 = 343.04 : x
  2. Step 2: Convert to fraction form
    586.50/880.02 = 343.04/x
  3. Step 3: Cross multiply
    586.50x = 880.02 × 343.04
  4. Step 4: Simplify right side
    586.50x = 301,877.66
  5. Step 5: Solve for x
    x = 301,877.66/586.50
  6. Step 6: Final answer
    x = 514.71

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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.