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Finding the Fourth Proportional to 527.36, 786.76 and 480.20

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Solution

The fourth proportional to 527.36, 786.76 and 480.20 is: 716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.36 : 786.76 = 480.20 : x
  2. Step 2: Convert to fraction form
    527.36/786.76 = 480.20/x
  3. Step 3: Cross multiply
    527.36x = 786.76 × 480.20
  4. Step 4: Simplify right side
    527.36x = 377,802.15
  5. Step 5: Solve for x
    x = 377,802.15/527.36
  6. Step 6: Final answer
    x = 716.40

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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.