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Finding the Fourth Proportional to 802.62, 1,205.05 and 412.95

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Solution

The fourth proportional to 802.62, 1,205.05 and 412.95 is: 620.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.62 : 1,205.05 = 412.95 : x
  2. Step 2: Convert to fraction form
    802.62/1,205.05 = 412.95/x
  3. Step 3: Cross multiply
    802.62x = 1,205.05 × 412.95
  4. Step 4: Simplify right side
    802.62x = 497,624.37
  5. Step 5: Solve for x
    x = 497,624.37/802.62
  6. Step 6: Final answer
    x = 620.00

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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.