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Finding the Fourth Proportional to 712.24, 983.44 and 535.46

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Solution

The fourth proportional to 712.24, 983.44 and 535.46 is: 739.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.24 : 983.44 = 535.46 : x
  2. Step 2: Convert to fraction form
    712.24/983.44 = 535.46/x
  3. Step 3: Cross multiply
    712.24x = 983.44 × 535.46
  4. Step 4: Simplify right side
    712.24x = 526,594.07
  5. Step 5: Solve for x
    x = 526,594.07/712.24
  6. Step 6: Final answer
    x = 739.35

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1.5x scale

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.