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Finding the Fourth Proportional to 1,151.86, 1,726.28 and 526.70

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Solution

The fourth proportional to 1,151.86, 1,726.28 and 526.70 is: 789.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.86 : 1,726.28 = 526.70 : x
  2. Step 2: Convert to fraction form
    1,151.86/1,726.28 = 526.70/x
  3. Step 3: Cross multiply
    1,151.86x = 1,726.28 × 526.70
  4. Step 4: Simplify right side
    1,151.86x = 909,231.68
  5. Step 5: Solve for x
    x = 909,231.68/1,151.86
  6. Step 6: Final answer
    x = 789.36

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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.