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Finding the Fourth Proportional to 840, 1,158.04 and 591.60

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Solution

The fourth proportional to 840, 1,158.04 and 591.60 is: 815.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    840 : 1,158.04 = 591.60 : x
  2. Step 2: Convert to fraction form
    840/1,158.04 = 591.60/x
  3. Step 3: Cross multiply
    840x = 1,158.04 × 591.60
  4. Step 4: Simplify right side
    840x = 685,096.46
  5. Step 5: Solve for x
    x = 685,096.46/840
  6. Step 6: Final answer
    x = 815.59

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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.