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Finding the Fourth Proportional to 584.07, 876.57 and 430.41

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Solution

The fourth proportional to 584.07, 876.57 and 430.41 is: 645.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.07 : 876.57 = 430.41 : x
  2. Step 2: Convert to fraction form
    584.07/876.57 = 430.41/x
  3. Step 3: Cross multiply
    584.07x = 876.57 × 430.41
  4. Step 4: Simplify right side
    584.07x = 377,284.49
  5. Step 5: Solve for x
    x = 377,284.49/584.07
  6. Step 6: Final answer
    x = 645.96

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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.