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Finding the Fourth Proportional to 640.04, 960.75 and 457.58

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Solution

The fourth proportional to 640.04, 960.75 and 457.58 is: 686.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.04 : 960.75 = 457.58 : x
  2. Step 2: Convert to fraction form
    640.04/960.75 = 457.58/x
  3. Step 3: Cross multiply
    640.04x = 960.75 × 457.58
  4. Step 4: Simplify right side
    640.04x = 439,615.18
  5. Step 5: Solve for x
    x = 439,615.18/640.04
  6. Step 6: Final answer
    x = 686.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.