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Finding the Fourth Proportional to 1,137.83, 1,707.82 and 590.40

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Solution

The fourth proportional to 1,137.83, 1,707.82 and 590.40 is: 886.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.83 : 1,707.82 = 590.40 : x
  2. Step 2: Convert to fraction form
    1,137.83/1,707.82 = 590.40/x
  3. Step 3: Cross multiply
    1,137.83x = 1,707.82 × 590.40
  4. Step 4: Simplify right side
    1,137.83x = 1,008,293.98
  5. Step 5: Solve for x
    x = 1,008,293.98/1,137.83
  6. Step 6: Final answer
    x = 886.16

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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.