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Finding the Fourth Proportional to 538.26, 803.50 and 465.59

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Solution

The fourth proportional to 538.26, 803.50 and 465.59 is: 695.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.26 : 803.50 = 465.59 : x
  2. Step 2: Convert to fraction form
    538.26/803.50 = 465.59/x
  3. Step 3: Cross multiply
    538.26x = 803.50 × 465.59
  4. Step 4: Simplify right side
    538.26x = 374,101.57
  5. Step 5: Solve for x
    x = 374,101.57/538.26
  6. Step 6: Final answer
    x = 695.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.