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Finding the Fourth Proportional to 487.40, 731.57 and 350.69

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Solution

The fourth proportional to 487.40, 731.57 and 350.69 is: 526.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.40 : 731.57 = 350.69 : x
  2. Step 2: Convert to fraction form
    487.40/731.57 = 350.69/x
  3. Step 3: Cross multiply
    487.40x = 731.57 × 350.69
  4. Step 4: Simplify right side
    487.40x = 256,548.87
  5. Step 5: Solve for x
    x = 256,548.87/487.40
  6. Step 6: Final answer
    x = 526.37

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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.