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Finding the Fourth Proportional to 1,409.86, 2,114.70 and 587.84

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Solution

The fourth proportional to 1,409.86, 2,114.70 and 587.84 is: 881.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.86 : 2,114.70 = 587.84 : x
  2. Step 2: Convert to fraction form
    1,409.86/2,114.70 = 587.84/x
  3. Step 3: Cross multiply
    1,409.86x = 2,114.70 × 587.84
  4. Step 4: Simplify right side
    1,409.86x = 1,243,105.25
  5. Step 5: Solve for x
    x = 1,243,105.25/1,409.86
  6. Step 6: Final answer
    x = 881.72

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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.