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Finding the Fourth Proportional to 720.54, 994.80 and 511.16

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Solution

The fourth proportional to 720.54, 994.80 and 511.16 is: 705.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.54 : 994.80 = 511.16 : x
  2. Step 2: Convert to fraction form
    720.54/994.80 = 511.16/x
  3. Step 3: Cross multiply
    720.54x = 994.80 × 511.16
  4. Step 4: Simplify right side
    720.54x = 508,501.97
  5. Step 5: Solve for x
    x = 508,501.97/720.54
  6. Step 6: Final answer
    x = 705.72

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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.