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Finding the Fourth Proportional to 1,028, 1,540.65 and 472.50

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Solution

The fourth proportional to 1,028, 1,540.65 and 472.50 is: 708.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028 : 1,540.65 = 472.50 : x
  2. Step 2: Convert to fraction form
    1,028/1,540.65 = 472.50/x
  3. Step 3: Cross multiply
    1,028x = 1,540.65 × 472.50
  4. Step 4: Simplify right side
    1,028x = 727,957.13
  5. Step 5: Solve for x
    x = 727,957.13/1,028
  6. Step 6: Final answer
    x = 708.13

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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.