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Finding the Fourth Proportional to 527.51, 790.45 and 397.37

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Solution

The fourth proportional to 527.51, 790.45 and 397.37 is: 595.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.51 : 790.45 = 397.37 : x
  2. Step 2: Convert to fraction form
    527.51/790.45 = 397.37/x
  3. Step 3: Cross multiply
    527.51x = 790.45 × 397.37
  4. Step 4: Simplify right side
    527.51x = 314,098.21
  5. Step 5: Solve for x
    x = 314,098.21/527.51
  6. Step 6: Final answer
    x = 595.43

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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.