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Finding the Fourth Proportional to 527.44, 790.08 and 435.28

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Solution

The fourth proportional to 527.44, 790.08 and 435.28 is: 652.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.44 : 790.08 = 435.28 : x
  2. Step 2: Convert to fraction form
    527.44/790.08 = 435.28/x
  3. Step 3: Cross multiply
    527.44x = 790.08 × 435.28
  4. Step 4: Simplify right side
    527.44x = 343,906.02
  5. Step 5: Solve for x
    x = 343,906.02/527.44
  6. Step 6: Final answer
    x = 652.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.