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Finding the Fourth Proportional to 505.95, 753.61 and 482.25

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Solution

The fourth proportional to 505.95, 753.61 and 482.25 is: 718.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.95 : 753.61 = 482.25 : x
  2. Step 2: Convert to fraction form
    505.95/753.61 = 482.25/x
  3. Step 3: Cross multiply
    505.95x = 753.61 × 482.25
  4. Step 4: Simplify right side
    505.95x = 363,427.22
  5. Step 5: Solve for x
    x = 363,427.22/505.95
  6. Step 6: Final answer
    x = 718.31

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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.