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Finding the Fourth Proportional to 1,142.82, 1,712.88 and 526.01

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Solution

The fourth proportional to 1,142.82, 1,712.88 and 526.01 is: 788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.82 : 1,712.88 = 526.01 : x
  2. Step 2: Convert to fraction form
    1,142.82/1,712.88 = 526.01/x
  3. Step 3: Cross multiply
    1,142.82x = 1,712.88 × 526.01
  4. Step 4: Simplify right side
    1,142.82x = 900,983.44
  5. Step 5: Solve for x
    x = 900,983.44/1,142.82
  6. Step 6: Final answer
    x = 788.39

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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.