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Finding the Fourth Proportional to 1,142.34, 1,713.26 and 525.46

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Solution

The fourth proportional to 1,142.34, 1,713.26 and 525.46 is: 788.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.34 : 1,713.26 = 525.46 : x
  2. Step 2: Convert to fraction form
    1,142.34/1,713.26 = 525.46/x
  3. Step 3: Cross multiply
    1,142.34x = 1,713.26 × 525.46
  4. Step 4: Simplify right side
    1,142.34x = 900,243.17
  5. Step 5: Solve for x
    x = 900,243.17/1,142.34
  6. Step 6: Final answer
    x = 788.07

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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.