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Finding the Fourth Proportional to 537.58, 741.66 and 316.45

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Solution

The fourth proportional to 537.58, 741.66 and 316.45 is: 436.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.58 : 741.66 = 316.45 : x
  2. Step 2: Convert to fraction form
    537.58/741.66 = 316.45/x
  3. Step 3: Cross multiply
    537.58x = 741.66 × 316.45
  4. Step 4: Simplify right side
    537.58x = 234,698.31
  5. Step 5: Solve for x
    x = 234,698.31/537.58
  6. Step 6: Final answer
    x = 436.58

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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.