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Finding the Fourth Proportional to 503.50, 752.34 and 399.70

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Solution

The fourth proportional to 503.50, 752.34 and 399.70 is: 597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.50 : 752.34 = 399.70 : x
  2. Step 2: Convert to fraction form
    503.50/752.34 = 399.70/x
  3. Step 3: Cross multiply
    503.50x = 752.34 × 399.70
  4. Step 4: Simplify right side
    503.50x = 300,710.30
  5. Step 5: Solve for x
    x = 300,710.30/503.50
  6. Step 6: Final answer
    x = 597.24

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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.