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Finding the Fourth Proportional to 435.07, 598.79 and 310.53

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Solution

The fourth proportional to 435.07, 598.79 and 310.53 is: 427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.07 : 598.79 = 310.53 : x
  2. Step 2: Convert to fraction form
    435.07/598.79 = 310.53/x
  3. Step 3: Cross multiply
    435.07x = 598.79 × 310.53
  4. Step 4: Simplify right side
    435.07x = 185,945.28
  5. Step 5: Solve for x
    x = 185,945.28/435.07
  6. Step 6: Final answer
    x = 427.39

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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.