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Finding the Fourth Proportional to 675.48, 933.52 and 509.63

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Solution

The fourth proportional to 675.48, 933.52 and 509.63 is: 704.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.48 : 933.52 = 509.63 : x
  2. Step 2: Convert to fraction form
    675.48/933.52 = 509.63/x
  3. Step 3: Cross multiply
    675.48x = 933.52 × 509.63
  4. Step 4: Simplify right side
    675.48x = 475,749.80
  5. Step 5: Solve for x
    x = 475,749.80/675.48
  6. Step 6: Final answer
    x = 704.31

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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.