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Finding the Fourth Proportional to 1,160.53, 1,739.82 and 510.77

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Solution

The fourth proportional to 1,160.53, 1,739.82 and 510.77 is: 765.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.53 : 1,739.82 = 510.77 : x
  2. Step 2: Convert to fraction form
    1,160.53/1,739.82 = 510.77/x
  3. Step 3: Cross multiply
    1,160.53x = 1,739.82 × 510.77
  4. Step 4: Simplify right side
    1,160.53x = 888,647.86
  5. Step 5: Solve for x
    x = 888,647.86/1,160.53
  6. Step 6: Final answer
    x = 765.73

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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.