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Finding the Fourth Proportional to 841.40, 1,160.96 and 492.02

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Solution

The fourth proportional to 841.40, 1,160.96 and 492.02 is: 678.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.40 : 1,160.96 = 492.02 : x
  2. Step 2: Convert to fraction form
    841.40/1,160.96 = 492.02/x
  3. Step 3: Cross multiply
    841.40x = 1,160.96 × 492.02
  4. Step 4: Simplify right side
    841.40x = 571,215.54
  5. Step 5: Solve for x
    x = 571,215.54/841.40
  6. Step 6: Final answer
    x = 678.89

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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.