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Finding the Fourth Proportional to 435.52, 598.46 and 348.04

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Solution

The fourth proportional to 435.52, 598.46 and 348.04 is: 478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.52 : 598.46 = 348.04 : x
  2. Step 2: Convert to fraction form
    435.52/598.46 = 348.04/x
  3. Step 3: Cross multiply
    435.52x = 598.46 × 348.04
  4. Step 4: Simplify right side
    435.52x = 208,283.29
  5. Step 5: Solve for x
    x = 208,283.29/435.52
  6. Step 6: Final answer
    x = 478.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.