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Finding the Fourth Proportional to 580.07, 799.04 and 432.45

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Solution

The fourth proportional to 580.07, 799.04 and 432.45 is: 595.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.07 : 799.04 = 432.45 : x
  2. Step 2: Convert to fraction form
    580.07/799.04 = 432.45/x
  3. Step 3: Cross multiply
    580.07x = 799.04 × 432.45
  4. Step 4: Simplify right side
    580.07x = 345,542.69
  5. Step 5: Solve for x
    x = 345,542.69/580.07
  6. Step 6: Final answer
    x = 595.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.