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Finding the Fourth Proportional to 434.46, 654.62 and 359.12

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Solution

The fourth proportional to 434.46, 654.62 and 359.12 is: 541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.46 : 654.62 = 359.12 : x
  2. Step 2: Convert to fraction form
    434.46/654.62 = 359.12/x
  3. Step 3: Cross multiply
    434.46x = 654.62 × 359.12
  4. Step 4: Simplify right side
    434.46x = 235,084.76
  5. Step 5: Solve for x
    x = 235,084.76/434.46
  6. Step 6: Final answer
    x = 541.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.