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Finding the Fourth Proportional to 503.80, 754.49 and 340.99

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Solution

The fourth proportional to 503.80, 754.49 and 340.99 is: 510.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.80 : 754.49 = 340.99 : x
  2. Step 2: Convert to fraction form
    503.80/754.49 = 340.99/x
  3. Step 3: Cross multiply
    503.80x = 754.49 × 340.99
  4. Step 4: Simplify right side
    503.80x = 257,271.84
  5. Step 5: Solve for x
    x = 257,271.84/503.80
  6. Step 6: Final answer
    x = 510.66

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