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Finding the Fourth Proportional to 1,020.56, 1,530.29 and 317.58

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Solution

The fourth proportional to 1,020.56, 1,530.29 and 317.58 is: 476.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.56 : 1,530.29 = 317.58 : x
  2. Step 2: Convert to fraction form
    1,020.56/1,530.29 = 317.58/x
  3. Step 3: Cross multiply
    1,020.56x = 1,530.29 × 317.58
  4. Step 4: Simplify right side
    1,020.56x = 485,987.91
  5. Step 5: Solve for x
    x = 485,987.91/1,020.56
  6. Step 6: Final answer
    x = 476.20

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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.