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Finding the Fourth Proportional to 713.56, 983.78 and 524.36

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Solution

The fourth proportional to 713.56, 983.78 and 524.36 is: 722.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.56 : 983.78 = 524.36 : x
  2. Step 2: Convert to fraction form
    713.56/983.78 = 524.36/x
  3. Step 3: Cross multiply
    713.56x = 983.78 × 524.36
  4. Step 4: Simplify right side
    713.56x = 515,854.88
  5. Step 5: Solve for x
    x = 515,854.88/713.56
  6. Step 6: Final answer
    x = 722.93

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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.