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Finding the Fourth Proportional to 640.10, 958.80 and 502.40

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Solution

The fourth proportional to 640.10, 958.80 and 502.40 is: 752.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.10 : 958.80 = 502.40 : x
  2. Step 2: Convert to fraction form
    640.10/958.80 = 502.40/x
  3. Step 3: Cross multiply
    640.10x = 958.80 × 502.40
  4. Step 4: Simplify right side
    640.10x = 481,701.12
  5. Step 5: Solve for x
    x = 481,701.12/640.10
  6. Step 6: Final answer
    x = 752.54

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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.