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Finding the Fourth Proportional to 1,142, 1,712.82 and 525.68

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Solution

The fourth proportional to 1,142, 1,712.82 and 525.68 is: 788.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142 : 1,712.82 = 525.68 : x
  2. Step 2: Convert to fraction form
    1,142/1,712.82 = 525.68/x
  3. Step 3: Cross multiply
    1,142x = 1,712.82 × 525.68
  4. Step 4: Simplify right side
    1,142x = 900,395.22
  5. Step 5: Solve for x
    x = 900,395.22/1,142
  6. Step 6: Final answer
    x = 788.44

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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.