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Finding the Fourth Proportional to 712.55, 983.70 and 503.37

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Solution

The fourth proportional to 712.55, 983.70 and 503.37 is: 694.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.55 : 983.70 = 503.37 : x
  2. Step 2: Convert to fraction form
    712.55/983.70 = 503.37/x
  3. Step 3: Cross multiply
    712.55x = 983.70 × 503.37
  4. Step 4: Simplify right side
    712.55x = 495,165.07
  5. Step 5: Solve for x
    x = 495,165.07/712.55
  6. Step 6: Final answer
    x = 694.92

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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.