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Finding the Fourth Proportional to 491.40, 733.95 and 410.22

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Solution

The fourth proportional to 491.40, 733.95 and 410.22 is: 612.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.40 : 733.95 = 410.22 : x
  2. Step 2: Convert to fraction form
    491.40/733.95 = 410.22/x
  3. Step 3: Cross multiply
    491.40x = 733.95 × 410.22
  4. Step 4: Simplify right side
    491.40x = 301,080.97
  5. Step 5: Solve for x
    x = 301,080.97/491.40
  6. Step 6: Final answer
    x = 612.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.