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Finding the Fourth Proportional to 464.76, 640.31 and 434.52

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Solution

The fourth proportional to 464.76, 640.31 and 434.52 is: 598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.76 : 640.31 = 434.52 : x
  2. Step 2: Convert to fraction form
    464.76/640.31 = 434.52/x
  3. Step 3: Cross multiply
    464.76x = 640.31 × 434.52
  4. Step 4: Simplify right side
    464.76x = 278,225.33
  5. Step 5: Solve for x
    x = 278,225.33/464.76
  6. Step 6: Final answer
    x = 598.64

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Find fourth proportional to 232.38, 320.15 and 217.26
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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.