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Finding the Fourth Proportional to 538.46, 741.20 and 468.12

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Solution

The fourth proportional to 538.46, 741.20 and 468.12 is: 644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.46 : 741.20 = 468.12 : x
  2. Step 2: Convert to fraction form
    538.46/741.20 = 468.12/x
  3. Step 3: Cross multiply
    538.46x = 741.20 × 468.12
  4. Step 4: Simplify right side
    538.46x = 346,968.20
  5. Step 5: Solve for x
    x = 346,968.20/538.46
  6. Step 6: Final answer
    x = 644.38

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1.5x scale

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.