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Finding the Fourth Proportional to 1,020.30, 1,530.64 and 472.12

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Solution

The fourth proportional to 1,020.30, 1,530.64 and 472.12 is: 708.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.30 : 1,530.64 = 472.12 : x
  2. Step 2: Convert to fraction form
    1,020.30/1,530.64 = 472.12/x
  3. Step 3: Cross multiply
    1,020.30x = 1,530.64 × 472.12
  4. Step 4: Simplify right side
    1,020.30x = 722,645.76
  5. Step 5: Solve for x
    x = 722,645.76/1,020.30
  6. Step 6: Final answer
    x = 708.27

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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.