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Finding the Fourth Proportional to 505.72, 753.23 and 483.23

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Solution

The fourth proportional to 505.72, 753.23 and 483.23 is: 719.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.72 : 753.23 = 483.23 : x
  2. Step 2: Convert to fraction form
    505.72/753.23 = 483.23/x
  3. Step 3: Cross multiply
    505.72x = 753.23 × 483.23
  4. Step 4: Simplify right side
    505.72x = 363,986.42
  5. Step 5: Solve for x
    x = 363,986.42/505.72
  6. Step 6: Final answer
    x = 719.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.