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Finding the Fourth Proportional to 1,213.58, 1,820.36 and 802.61

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Solution

The fourth proportional to 1,213.58, 1,820.36 and 802.61 is: 1,203.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.58 : 1,820.36 = 802.61 : x
  2. Step 2: Convert to fraction form
    1,213.58/1,820.36 = 802.61/x
  3. Step 3: Cross multiply
    1,213.58x = 1,820.36 × 802.61
  4. Step 4: Simplify right side
    1,213.58x = 1,461,035.13
  5. Step 5: Solve for x
    x = 1,461,035.13/1,213.58
  6. Step 6: Final answer
    x = 1,203.91

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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.