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Finding the Fourth Proportional to 1,047.81, 1,570.85 and 817.71

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Solution

The fourth proportional to 1,047.81, 1,570.85 and 817.71 is: 1,225.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.81 : 1,570.85 = 817.71 : x
  2. Step 2: Convert to fraction form
    1,047.81/1,570.85 = 817.71/x
  3. Step 3: Cross multiply
    1,047.81x = 1,570.85 × 817.71
  4. Step 4: Simplify right side
    1,047.81x = 1,284,495.66
  5. Step 5: Solve for x
    x = 1,284,495.66/1,047.81
  6. Step 6: Final answer
    x = 1,225.89

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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.