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Finding the Fourth Proportional to 691.78, 955.38 and 470.32

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Solution

The fourth proportional to 691.78, 955.38 and 470.32 is: 649.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.78 : 955.38 = 470.32 : x
  2. Step 2: Convert to fraction form
    691.78/955.38 = 470.32/x
  3. Step 3: Cross multiply
    691.78x = 955.38 × 470.32
  4. Step 4: Simplify right side
    691.78x = 449,334.32
  5. Step 5: Solve for x
    x = 449,334.32/691.78
  6. Step 6: Final answer
    x = 649.53

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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.