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Finding the Fourth Proportional to 530.75, 799.58 and 485.64

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Solution

The fourth proportional to 530.75, 799.58 and 485.64 is: 731.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.75 : 799.58 = 485.64 : x
  2. Step 2: Convert to fraction form
    530.75/799.58 = 485.64/x
  3. Step 3: Cross multiply
    530.75x = 799.58 × 485.64
  4. Step 4: Simplify right side
    530.75x = 388,305.60
  5. Step 5: Solve for x
    x = 388,305.60/530.75
  6. Step 6: Final answer
    x = 731.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.