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Finding the Fourth Proportional to 538.55, 810.56 and 402.32

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Solution

The fourth proportional to 538.55, 810.56 and 402.32 is: 605.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.55 : 810.56 = 402.32 : x
  2. Step 2: Convert to fraction form
    538.55/810.56 = 402.32/x
  3. Step 3: Cross multiply
    538.55x = 810.56 × 402.32
  4. Step 4: Simplify right side
    538.55x = 326,100.71
  5. Step 5: Solve for x
    x = 326,100.71/538.55
  6. Step 6: Final answer
    x = 605.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.