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Finding the Fourth Proportional to 572.79, 789.15 and 430.37

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Solution

The fourth proportional to 572.79, 789.15 and 430.37 is: 592.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.79 : 789.15 = 430.37 : x
  2. Step 2: Convert to fraction form
    572.79/789.15 = 430.37/x
  3. Step 3: Cross multiply
    572.79x = 789.15 × 430.37
  4. Step 4: Simplify right side
    572.79x = 339,624.15
  5. Step 5: Solve for x
    x = 339,624.15/572.79
  6. Step 6: Final answer
    x = 592.93

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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.