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Finding the Fourth Proportional to 1,237.21, 1,856.01 and 587.59

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Solution

The fourth proportional to 1,237.21, 1,856.01 and 587.59 is: 881.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.21 : 1,856.01 = 587.59 : x
  2. Step 2: Convert to fraction form
    1,237.21/1,856.01 = 587.59/x
  3. Step 3: Cross multiply
    1,237.21x = 1,856.01 × 587.59
  4. Step 4: Simplify right side
    1,237.21x = 1,090,572.92
  5. Step 5: Solve for x
    x = 1,090,572.92/1,237.21
  6. Step 6: Final answer
    x = 881.48

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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.