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Finding the Fourth Proportional to 428.39, 590.79 and 354.58

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Solution

The fourth proportional to 428.39, 590.79 and 354.58 is: 489.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.39 : 590.79 = 354.58 : x
  2. Step 2: Convert to fraction form
    428.39/590.79 = 354.58/x
  3. Step 3: Cross multiply
    428.39x = 590.79 × 354.58
  4. Step 4: Simplify right side
    428.39x = 209,482.17
  5. Step 5: Solve for x
    x = 209,482.17/428.39
  6. Step 6: Final answer
    x = 489.00

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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.