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Finding the Fourth Proportional to 1,020.23, 1,530.56 and 317.42

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Solution

The fourth proportional to 1,020.23, 1,530.56 and 317.42 is: 476.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.23 : 1,530.56 = 317.42 : x
  2. Step 2: Convert to fraction form
    1,020.23/1,530.56 = 317.42/x
  3. Step 3: Cross multiply
    1,020.23x = 1,530.56 × 317.42
  4. Step 4: Simplify right side
    1,020.23x = 485,821.12
  5. Step 5: Solve for x
    x = 485,821.12/1,020.23
  6. Step 6: Final answer
    x = 476.19

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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.