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Finding the Fourth Proportional to 527.68, 790.08 and 334.72

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Solution

The fourth proportional to 527.68, 790.08 and 334.72 is: 501.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.68 : 790.08 = 334.72 : x
  2. Step 2: Convert to fraction form
    527.68/790.08 = 334.72/x
  3. Step 3: Cross multiply
    527.68x = 790.08 × 334.72
  4. Step 4: Simplify right side
    527.68x = 264,455.58
  5. Step 5: Solve for x
    x = 264,455.58/527.68
  6. Step 6: Final answer
    x = 501.17

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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.