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Finding the Fourth Proportional to 802.91, 1,205.05 and 572.36

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Solution

The fourth proportional to 802.91, 1,205.05 and 572.36 is: 859.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.91 : 1,205.05 = 572.36 : x
  2. Step 2: Convert to fraction form
    802.91/1,205.05 = 572.36/x
  3. Step 3: Cross multiply
    802.91x = 1,205.05 × 572.36
  4. Step 4: Simplify right side
    802.91x = 689,724.00
  5. Step 5: Solve for x
    x = 689,724.00/802.91
  6. Step 6: Final answer
    x = 859.03

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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.