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Finding the Fourth Proportional to 675.07, 932.30 and 465.79

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Solution

The fourth proportional to 675.07, 932.30 and 465.79 is: 643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.07 : 932.30 = 465.79 : x
  2. Step 2: Convert to fraction form
    675.07/932.30 = 465.79/x
  3. Step 3: Cross multiply
    675.07x = 932.30 × 465.79
  4. Step 4: Simplify right side
    675.07x = 434,256.02
  5. Step 5: Solve for x
    x = 434,256.02/675.07
  6. Step 6: Final answer
    x = 643.28

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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.