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Finding the Fourth Proportional to 956.10, 1,431.99 and 570.54

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Solution

The fourth proportional to 956.10, 1,431.99 and 570.54 is: 854.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.10 : 1,431.99 = 570.54 : x
  2. Step 2: Convert to fraction form
    956.10/1,431.99 = 570.54/x
  3. Step 3: Cross multiply
    956.10x = 1,431.99 × 570.54
  4. Step 4: Simplify right side
    956.10x = 817,007.57
  5. Step 5: Solve for x
    x = 817,007.57/956.10
  6. Step 6: Final answer
    x = 854.52

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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.