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Finding the Fourth Proportional to 503.50, 756.64 and 440.02

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Solution

The fourth proportional to 503.50, 756.64 and 440.02 is: 661.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.50 : 756.64 = 440.02 : x
  2. Step 2: Convert to fraction form
    503.50/756.64 = 440.02/x
  3. Step 3: Cross multiply
    503.50x = 756.64 × 440.02
  4. Step 4: Simplify right side
    503.50x = 332,936.73
  5. Step 5: Solve for x
    x = 332,936.73/503.50
  6. Step 6: Final answer
    x = 661.24

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1.5x scale

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.