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Finding the Fourth Proportional to 1,010.30, 1,516.65 and 571.90

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Solution

The fourth proportional to 1,010.30, 1,516.65 and 571.90 is: 858.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.30 : 1,516.65 = 571.90 : x
  2. Step 2: Convert to fraction form
    1,010.30/1,516.65 = 571.90/x
  3. Step 3: Cross multiply
    1,010.30x = 1,516.65 × 571.90
  4. Step 4: Simplify right side
    1,010.30x = 867,372.14
  5. Step 5: Solve for x
    x = 867,372.14/1,010.30
  6. Step 6: Final answer
    x = 858.53

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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.