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Finding the Fourth Proportional to 487.57, 730.54 and 342.98

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Solution

The fourth proportional to 487.57, 730.54 and 342.98 is: 513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.57 : 730.54 = 342.98 : x
  2. Step 2: Convert to fraction form
    487.57/730.54 = 342.98/x
  3. Step 3: Cross multiply
    487.57x = 730.54 × 342.98
  4. Step 4: Simplify right side
    487.57x = 250,564.42
  5. Step 5: Solve for x
    x = 250,564.42/487.57
  6. Step 6: Final answer
    x = 513.91

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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.