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Finding the Fourth Proportional to 432.90, 597.62 and 285.76

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Solution

The fourth proportional to 432.90, 597.62 and 285.76 is: 394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.90 : 597.62 = 285.76 : x
  2. Step 2: Convert to fraction form
    432.90/597.62 = 285.76/x
  3. Step 3: Cross multiply
    432.90x = 597.62 × 285.76
  4. Step 4: Simplify right side
    432.90x = 170,775.89
  5. Step 5: Solve for x
    x = 170,775.89/432.90
  6. Step 6: Final answer
    x = 394.49

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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.