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Finding the Fourth Proportional to 433, 597.40 and 285.72

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Solution

The fourth proportional to 433, 597.40 and 285.72 is: 394.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    433 : 597.40 = 285.72 : x
  2. Step 2: Convert to fraction form
    433/597.40 = 285.72/x
  3. Step 3: Cross multiply
    433x = 597.40 × 285.72
  4. Step 4: Simplify right side
    433x = 170,689.13
  5. Step 5: Solve for x
    x = 170,689.13/433
  6. Step 6: Final answer
    x = 394.20

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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.