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Finding the Fourth Proportional to 527.51, 790.70 and 253.02

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Solution

The fourth proportional to 527.51, 790.70 and 253.02 is: 379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.51 : 790.70 = 253.02 : x
  2. Step 2: Convert to fraction form
    527.51/790.70 = 253.02/x
  3. Step 3: Cross multiply
    527.51x = 790.70 × 253.02
  4. Step 4: Simplify right side
    527.51x = 200,057.70
  5. Step 5: Solve for x
    x = 200,057.70/527.51
  6. Step 6: Final answer
    x = 379.25

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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.