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Finding the Fourth Proportional to 712.45, 983.15 and 525.87

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Solution

The fourth proportional to 712.45, 983.15 and 525.87 is: 725.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.45 : 983.15 = 525.87 : x
  2. Step 2: Convert to fraction form
    712.45/983.15 = 525.87/x
  3. Step 3: Cross multiply
    712.45x = 983.15 × 525.87
  4. Step 4: Simplify right side
    712.45x = 517,009.72
  5. Step 5: Solve for x
    x = 517,009.72/712.45
  6. Step 6: Final answer
    x = 725.68

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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.