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Finding the Fourth Proportional to 428.83, 591.57 and 288.77

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Solution

The fourth proportional to 428.83, 591.57 and 288.77 is: 398.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.83 : 591.57 = 288.77 : x
  2. Step 2: Convert to fraction form
    428.83/591.57 = 288.77/x
  3. Step 3: Cross multiply
    428.83x = 591.57 × 288.77
  4. Step 4: Simplify right side
    428.83x = 170,824.71
  5. Step 5: Solve for x
    x = 170,824.71/428.83
  6. Step 6: Final answer
    x = 398.35

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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.