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Finding the Fourth Proportional to 802.35, 1,104.98 and 580.95

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Solution

The fourth proportional to 802.35, 1,104.98 and 580.95 is: 800.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.35 : 1,104.98 = 580.95 : x
  2. Step 2: Convert to fraction form
    802.35/1,104.98 = 580.95/x
  3. Step 3: Cross multiply
    802.35x = 1,104.98 × 580.95
  4. Step 4: Simplify right side
    802.35x = 641,935.23
  5. Step 5: Solve for x
    x = 641,935.23/802.35
  6. Step 6: Final answer
    x = 800.07

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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.