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Finding the Fourth Proportional to 527.04, 790.64 and 161.80

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Solution

The fourth proportional to 527.04, 790.64 and 161.80 is: 242.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.04 : 790.64 = 161.80 : x
  2. Step 2: Convert to fraction form
    527.04/790.64 = 161.80/x
  3. Step 3: Cross multiply
    527.04x = 790.64 × 161.80
  4. Step 4: Simplify right side
    527.04x = 127,925.55
  5. Step 5: Solve for x
    x = 127,925.55/527.04
  6. Step 6: Final answer
    x = 242.72

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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.