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Finding the Fourth Proportional to 505.12, 753.48 and 456.48

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Solution

The fourth proportional to 505.12, 753.48 and 456.48 is: 680.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.12 : 753.48 = 456.48 : x
  2. Step 2: Convert to fraction form
    505.12/753.48 = 456.48/x
  3. Step 3: Cross multiply
    505.12x = 753.48 × 456.48
  4. Step 4: Simplify right side
    505.12x = 343,948.55
  5. Step 5: Solve for x
    x = 343,948.55/505.12
  6. Step 6: Final answer
    x = 680.92

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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.