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Finding the Fourth Proportional to 860.66, 1,288.88 and 494.32

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Solution

The fourth proportional to 860.66, 1,288.88 and 494.32 is: 740.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.66 : 1,288.88 = 494.32 : x
  2. Step 2: Convert to fraction form
    860.66/1,288.88 = 494.32/x
  3. Step 3: Cross multiply
    860.66x = 1,288.88 × 494.32
  4. Step 4: Simplify right side
    860.66x = 637,119.16
  5. Step 5: Solve for x
    x = 637,119.16/860.66
  6. Step 6: Final answer
    x = 740.27

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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.