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Finding the Fourth Proportional to 860.86, 1,188.01 and 487.83

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Solution

The fourth proportional to 860.86, 1,188.01 and 487.83 is: 673.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.86 : 1,188.01 = 487.83 : x
  2. Step 2: Convert to fraction form
    860.86/1,188.01 = 487.83/x
  3. Step 3: Cross multiply
    860.86x = 1,188.01 × 487.83
  4. Step 4: Simplify right side
    860.86x = 579,547.45
  5. Step 5: Solve for x
    x = 579,547.45/860.86
  6. Step 6: Final answer
    x = 673.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.