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Finding the Fourth Proportional to 1,142.47, 1,712.68 and 525.86

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Solution

The fourth proportional to 1,142.47, 1,712.68 and 525.86 is: 788.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.47 : 1,712.68 = 525.86 : x
  2. Step 2: Convert to fraction form
    1,142.47/1,712.68 = 525.86/x
  3. Step 3: Cross multiply
    1,142.47x = 1,712.68 × 525.86
  4. Step 4: Simplify right side
    1,142.47x = 900,626.45
  5. Step 5: Solve for x
    x = 900,626.45/1,142.47
  6. Step 6: Final answer
    x = 788.31

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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.