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Finding the Fourth Proportional to 532.13, 739.40 and 526.43

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Solution

The fourth proportional to 532.13, 739.40 and 526.43 is: 731.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.13 : 739.40 = 526.43 : x
  2. Step 2: Convert to fraction form
    532.13/739.40 = 526.43/x
  3. Step 3: Cross multiply
    532.13x = 739.40 × 526.43
  4. Step 4: Simplify right side
    532.13x = 389,238.65
  5. Step 5: Solve for x
    x = 389,238.65/532.13
  6. Step 6: Final answer
    x = 731.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.