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Finding the Fourth Proportional to 538.50, 741.64 and 510.69

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Solution

The fourth proportional to 538.50, 741.64 and 510.69 is: 703.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.50 : 741.64 = 510.69 : x
  2. Step 2: Convert to fraction form
    538.50/741.64 = 510.69/x
  3. Step 3: Cross multiply
    538.50x = 741.64 × 510.69
  4. Step 4: Simplify right side
    538.50x = 378,745.58
  5. Step 5: Solve for x
    x = 378,745.58/538.50
  6. Step 6: Final answer
    x = 703.33

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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.