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Finding the Fourth Proportional to 1,159.69, 1,739.35 and 379.72

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Solution

The fourth proportional to 1,159.69, 1,739.35 and 379.72 is: 569.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.69 : 1,739.35 = 379.72 : x
  2. Step 2: Convert to fraction form
    1,159.69/1,739.35 = 379.72/x
  3. Step 3: Cross multiply
    1,159.69x = 1,739.35 × 379.72
  4. Step 4: Simplify right side
    1,159.69x = 660,465.98
  5. Step 5: Solve for x
    x = 660,465.98/1,159.69
  6. Step 6: Final answer
    x = 569.52

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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.