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Finding the Fourth Proportional to 720.45, 993.60 and 562.84

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Solution

The fourth proportional to 720.45, 993.60 and 562.84 is: 776.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.45 : 993.60 = 562.84 : x
  2. Step 2: Convert to fraction form
    720.45/993.60 = 562.84/x
  3. Step 3: Cross multiply
    720.45x = 993.60 × 562.84
  4. Step 4: Simplify right side
    720.45x = 559,235.34
  5. Step 5: Solve for x
    x = 559,235.34/720.45
  6. Step 6: Final answer
    x = 776.23

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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.