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Finding the Fourth Proportional to 841.79, 1,161.55 and 492.59

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Solution

The fourth proportional to 841.79, 1,161.55 and 492.59 is: 679.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.79 : 1,161.55 = 492.59 : x
  2. Step 2: Convert to fraction form
    841.79/1,161.55 = 492.59/x
  3. Step 3: Cross multiply
    841.79x = 1,161.55 × 492.59
  4. Step 4: Simplify right side
    841.79x = 572,167.91
  5. Step 5: Solve for x
    x = 572,167.91/841.79
  6. Step 6: Final answer
    x = 679.70

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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.