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Finding the Fourth Proportional to 720.54, 995.63 and 563.58

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Solution

The fourth proportional to 720.54, 995.63 and 563.58 is: 778.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.54 : 995.63 = 563.58 : x
  2. Step 2: Convert to fraction form
    720.54/995.63 = 563.58/x
  3. Step 3: Cross multiply
    720.54x = 995.63 × 563.58
  4. Step 4: Simplify right side
    720.54x = 561,117.16
  5. Step 5: Solve for x
    x = 561,117.16/720.54
  6. Step 6: Final answer
    x = 778.75

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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.