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Finding the Fourth Proportional to 719.52, 996.96 and 710.16

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Solution

The fourth proportional to 719.52, 996.96 and 710.16 is: 983.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.52 : 996.96 = 710.16 : x
  2. Step 2: Convert to fraction form
    719.52/996.96 = 710.16/x
  3. Step 3: Cross multiply
    719.52x = 996.96 × 710.16
  4. Step 4: Simplify right side
    719.52x = 708,001.11
  5. Step 5: Solve for x
    x = 708,001.11/719.52
  6. Step 6: Final answer
    x = 983.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.