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Finding the Fourth Proportional to 536.89, 741.02 and 315.89

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Solution

The fourth proportional to 536.89, 741.02 and 315.89 is: 435.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.89 : 741.02 = 315.89 : x
  2. Step 2: Convert to fraction form
    536.89/741.02 = 315.89/x
  3. Step 3: Cross multiply
    536.89x = 741.02 × 315.89
  4. Step 4: Simplify right side
    536.89x = 234,080.81
  5. Step 5: Solve for x
    x = 234,080.81/536.89
  6. Step 6: Final answer
    x = 435.99

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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.