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Finding the Fourth Proportional to 1,057.26, 1,586.49 and 710.76

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Solution

The fourth proportional to 1,057.26, 1,586.49 and 710.76 is: 1,066.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.26 : 1,586.49 = 710.76 : x
  2. Step 2: Convert to fraction form
    1,057.26/1,586.49 = 710.76/x
  3. Step 3: Cross multiply
    1,057.26x = 1,586.49 × 710.76
  4. Step 4: Simplify right side
    1,057.26x = 1,127,613.63
  5. Step 5: Solve for x
    x = 1,127,613.63/1,057.26
  6. Step 6: Final answer
    x = 1,066.54

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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.