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Finding the Fourth Proportional to 530.55, 799.53 and 505.83

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Solution

The fourth proportional to 530.55, 799.53 and 505.83 is: 762.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.55 : 799.53 = 505.83 : x
  2. Step 2: Convert to fraction form
    530.55/799.53 = 505.83/x
  3. Step 3: Cross multiply
    530.55x = 799.53 × 505.83
  4. Step 4: Simplify right side
    530.55x = 404,426.26
  5. Step 5: Solve for x
    x = 404,426.26/530.55
  6. Step 6: Final answer
    x = 762.28

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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.