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Finding the Fourth Proportional to 1,020.51, 1,530 and 472.37

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Solution

The fourth proportional to 1,020.51, 1,530 and 472.37 is: 708.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.51 : 1,530 = 472.37 : x
  2. Step 2: Convert to fraction form
    1,020.51/1,530 = 472.37/x
  3. Step 3: Cross multiply
    1,020.51x = 1,530 × 472.37
  4. Step 4: Simplify right side
    1,020.51x = 722,718.45
  5. Step 5: Solve for x
    x = 722,718.45/1,020.51
  6. Step 6: Final answer
    x = 708.19

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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.