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Finding the Fourth Proportional to 712.98, 983.10 and 503.19

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Solution

The fourth proportional to 712.98, 983.10 and 503.19 is: 693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.98 : 983.10 = 503.19 : x
  2. Step 2: Convert to fraction form
    712.98/983.10 = 503.19/x
  3. Step 3: Cross multiply
    712.98x = 983.10 × 503.19
  4. Step 4: Simplify right side
    712.98x = 494,686.09
  5. Step 5: Solve for x
    x = 494,686.09/712.98
  6. Step 6: Final answer
    x = 693.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.