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Finding the Fourth Proportional to 640.23, 953.91 and 598.32

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Solution

The fourth proportional to 640.23, 953.91 and 598.32 is: 891.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.23 : 953.91 = 598.32 : x
  2. Step 2: Convert to fraction form
    640.23/953.91 = 598.32/x
  3. Step 3: Cross multiply
    640.23x = 953.91 × 598.32
  4. Step 4: Simplify right side
    640.23x = 570,743.43
  5. Step 5: Solve for x
    x = 570,743.43/640.23
  6. Step 6: Final answer
    x = 891.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.