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Finding the Fourth Proportional to 493.94, 741.40 and 436.53

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Solution

The fourth proportional to 493.94, 741.40 and 436.53 is: 655.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.94 : 741.40 = 436.53 : x
  2. Step 2: Convert to fraction form
    493.94/741.40 = 436.53/x
  3. Step 3: Cross multiply
    493.94x = 741.40 × 436.53
  4. Step 4: Simplify right side
    493.94x = 323,642.25
  5. Step 5: Solve for x
    x = 323,642.25/493.94
  6. Step 6: Final answer
    x = 655.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.