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Finding the Fourth Proportional to 433.53, 598.76 and 316.03

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Solution

The fourth proportional to 433.53, 598.76 and 316.03 is: 436.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.53 : 598.76 = 316.03 : x
  2. Step 2: Convert to fraction form
    433.53/598.76 = 316.03/x
  3. Step 3: Cross multiply
    433.53x = 598.76 × 316.03
  4. Step 4: Simplify right side
    433.53x = 189,223.13
  5. Step 5: Solve for x
    x = 189,223.13/433.53
  6. Step 6: Final answer
    x = 436.48

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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.