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Finding the Fourth Proportional to 538.13, 740.52 and 520.31

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Solution

The fourth proportional to 538.13, 740.52 and 520.31 is: 716.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.13 : 740.52 = 520.31 : x
  2. Step 2: Convert to fraction form
    538.13/740.52 = 520.31/x
  3. Step 3: Cross multiply
    538.13x = 740.52 × 520.31
  4. Step 4: Simplify right side
    538.13x = 385,299.96
  5. Step 5: Solve for x
    x = 385,299.96/538.13
  6. Step 6: Final answer
    x = 716.00

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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.