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Finding the Fourth Proportional to 875.06, 1,208.20 and 580.94

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Solution

The fourth proportional to 875.06, 1,208.20 and 580.94 is: 802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.06 : 1,208.20 = 580.94 : x
  2. Step 2: Convert to fraction form
    875.06/1,208.20 = 580.94/x
  3. Step 3: Cross multiply
    875.06x = 1,208.20 × 580.94
  4. Step 4: Simplify right side
    875.06x = 701,891.71
  5. Step 5: Solve for x
    x = 701,891.71/875.06
  6. Step 6: Final answer
    x = 802.11

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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.