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Finding the Fourth Proportional to 535.83, 738.54 and 430.71

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Solution

The fourth proportional to 535.83, 738.54 and 430.71 is: 593.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.83 : 738.54 = 430.71 : x
  2. Step 2: Convert to fraction form
    535.83/738.54 = 430.71/x
  3. Step 3: Cross multiply
    535.83x = 738.54 × 430.71
  4. Step 4: Simplify right side
    535.83x = 318,096.56
  5. Step 5: Solve for x
    x = 318,096.56/535.83
  6. Step 6: Final answer
    x = 593.65

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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.